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Finding the Fourth Proportional to 675.66, 932.48 and 410.10

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Solution

The fourth proportional to 675.66, 932.48 and 410.10 is: 565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.66 : 932.48 = 410.10 : x
  2. Step 2: Convert to fraction form
    675.66/932.48 = 410.10/x
  3. Step 3: Cross multiply
    675.66x = 932.48 × 410.10
  4. Step 4: Simplify right side
    675.66x = 382,410.05
  5. Step 5: Solve for x
    x = 382,410.05/675.66
  6. Step 6: Final answer
    x = 565.98

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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.