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Finding the Fourth Proportional to 493.52, 736.10 and 424.24

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Solution

The fourth proportional to 493.52, 736.10 and 424.24 is: 632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.52 : 736.10 = 424.24 : x
  2. Step 2: Convert to fraction form
    493.52/736.10 = 424.24/x
  3. Step 3: Cross multiply
    493.52x = 736.10 × 424.24
  4. Step 4: Simplify right side
    493.52x = 312,283.06
  5. Step 5: Solve for x
    x = 312,283.06/493.52
  6. Step 6: Final answer
    x = 632.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.