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Finding the Fourth Proportional to 407.50, 562.35 and 232.84

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Solution

The fourth proportional to 407.50, 562.35 and 232.84 is: 321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.50 : 562.35 = 232.84 : x
  2. Step 2: Convert to fraction form
    407.50/562.35 = 232.84/x
  3. Step 3: Cross multiply
    407.50x = 562.35 × 232.84
  4. Step 4: Simplify right side
    407.50x = 130,937.57
  5. Step 5: Solve for x
    x = 130,937.57/407.50
  6. Step 6: Final answer
    x = 321.32

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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.