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Finding the Fourth Proportional to 407.79, 562.71 and 233.13

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Solution

The fourth proportional to 407.79, 562.71 and 233.13 is: 321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.79 : 562.71 = 233.13 : x
  2. Step 2: Convert to fraction form
    407.79/562.71 = 233.13/x
  3. Step 3: Cross multiply
    407.79x = 562.71 × 233.13
  4. Step 4: Simplify right side
    407.79x = 131,184.58
  5. Step 5: Solve for x
    x = 131,184.58/407.79
  6. Step 6: Final answer
    x = 321.70

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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.