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Finding the Fourth Proportional to 374.29, 562.65 and 230.92

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Solution

The fourth proportional to 374.29, 562.65 and 230.92 is: 347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.29 : 562.65 = 230.92 : x
  2. Step 2: Convert to fraction form
    374.29/562.65 = 230.92/x
  3. Step 3: Cross multiply
    374.29x = 562.65 × 230.92
  4. Step 4: Simplify right side
    374.29x = 129,927.14
  5. Step 5: Solve for x
    x = 129,927.14/374.29
  6. Step 6: Final answer
    x = 347.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.