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Finding the Fourth Proportional to 358.56, 493.92 and 317.52

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Solution

The fourth proportional to 358.56, 493.92 and 317.52 is: 437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.56 : 493.92 = 317.52 : x
  2. Step 2: Convert to fraction form
    358.56/493.92 = 317.52/x
  3. Step 3: Cross multiply
    358.56x = 493.92 × 317.52
  4. Step 4: Simplify right side
    358.56x = 156,829.48
  5. Step 5: Solve for x
    x = 156,829.48/358.56
  6. Step 6: Final answer
    x = 437.39

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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.