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Finding the Fourth Proportional to 407.36, 562.02 and 232.58

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Solution

The fourth proportional to 407.36, 562.02 and 232.58 is: 320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.36 : 562.02 = 232.58 : x
  2. Step 2: Convert to fraction form
    407.36/562.02 = 232.58/x
  3. Step 3: Cross multiply
    407.36x = 562.02 × 232.58
  4. Step 4: Simplify right side
    407.36x = 130,714.61
  5. Step 5: Solve for x
    x = 130,714.61/407.36
  6. Step 6: Final answer
    x = 320.88

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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.