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Finding the Fourth Proportional to 597.97, 824.70 and 421.52

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Solution

The fourth proportional to 597.97, 824.70 and 421.52 is: 581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.97 : 824.70 = 421.52 : x
  2. Step 2: Convert to fraction form
    597.97/824.70 = 421.52/x
  3. Step 3: Cross multiply
    597.97x = 824.70 × 421.52
  4. Step 4: Simplify right side
    597.97x = 347,623.42
  5. Step 5: Solve for x
    x = 347,623.42/597.97
  6. Step 6: Final answer
    x = 581.34

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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.