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Finding the Fourth Proportional to 675.88, 932.76 and 414.04

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Solution

The fourth proportional to 675.88, 932.76 and 414.04 is: 571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.88 : 932.76 = 414.04 : x
  2. Step 2: Convert to fraction form
    675.88/932.76 = 414.04/x
  3. Step 3: Cross multiply
    675.88x = 932.76 × 414.04
  4. Step 4: Simplify right side
    675.88x = 386,199.95
  5. Step 5: Solve for x
    x = 386,199.95/675.88
  6. Step 6: Final answer
    x = 571.40

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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.