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Finding the Fourth Proportional to 374.91, 562.50 and 230.46

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Solution

The fourth proportional to 374.91, 562.50 and 230.46 is: 345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.91 : 562.50 = 230.46 : x
  2. Step 2: Convert to fraction form
    374.91/562.50 = 230.46/x
  3. Step 3: Cross multiply
    374.91x = 562.50 × 230.46
  4. Step 4: Simplify right side
    374.91x = 129,633.75
  5. Step 5: Solve for x
    x = 129,633.75/374.91
  6. Step 6: Final answer
    x = 345.77

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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.