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Finding the Fourth Proportional to 355.92, 531.41 and 307.14

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Solution

The fourth proportional to 355.92, 531.41 and 307.14 is: 458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.92 : 531.41 = 307.14 : x
  2. Step 2: Convert to fraction form
    355.92/531.41 = 307.14/x
  3. Step 3: Cross multiply
    355.92x = 531.41 × 307.14
  4. Step 4: Simplify right side
    355.92x = 163,217.27
  5. Step 5: Solve for x
    x = 163,217.27/355.92
  6. Step 6: Final answer
    x = 458.58

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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.