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Finding the Fourth Proportional to 592.47, 819.05 and 538.47

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Solution

The fourth proportional to 592.47, 819.05 and 538.47 is: 744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.47 : 819.05 = 538.47 : x
  2. Step 2: Convert to fraction form
    592.47/819.05 = 538.47/x
  3. Step 3: Cross multiply
    592.47x = 819.05 × 538.47
  4. Step 4: Simplify right side
    592.47x = 441,031.16
  5. Step 5: Solve for x
    x = 441,031.16/592.47
  6. Step 6: Final answer
    x = 744.39

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Double scale
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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.