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Finding the Fourth Proportional to 597.78, 824.23 and 473.39

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Solution

The fourth proportional to 597.78, 824.23 and 473.39 is: 652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.78 : 824.23 = 473.39 : x
  2. Step 2: Convert to fraction form
    597.78/824.23 = 473.39/x
  3. Step 3: Cross multiply
    597.78x = 824.23 × 473.39
  4. Step 4: Simplify right side
    597.78x = 390,183.77
  5. Step 5: Solve for x
    x = 390,183.77/597.78
  6. Step 6: Final answer
    x = 652.72

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Double scale
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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.