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Finding the Fourth Proportional to 597.47, 824.65 and 464.66

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Solution

The fourth proportional to 597.47, 824.65 and 464.66 is: 641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.47 : 824.65 = 464.66 : x
  2. Step 2: Convert to fraction form
    597.47/824.65 = 464.66/x
  3. Step 3: Cross multiply
    597.47x = 824.65 × 464.66
  4. Step 4: Simplify right side
    597.47x = 383,179.20
  5. Step 5: Solve for x
    x = 383,179.20/597.47
  6. Step 6: Final answer
    x = 641.34

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.