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Finding the Fourth Proportional to 675.50, 932.03 and 409.93

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Solution

The fourth proportional to 675.50, 932.03 and 409.93 is: 565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.50 : 932.03 = 409.93 : x
  2. Step 2: Convert to fraction form
    675.50/932.03 = 409.93/x
  3. Step 3: Cross multiply
    675.50x = 932.03 × 409.93
  4. Step 4: Simplify right side
    675.50x = 382,071.10
  5. Step 5: Solve for x
    x = 382,071.10/675.50
  6. Step 6: Final answer
    x = 565.61

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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.