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Finding the Fourth Proportional to 675.62, 932.34 and 410.15

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Solution

The fourth proportional to 675.62, 932.34 and 410.15 is: 566.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.62 : 932.34 = 410.15 : x
  2. Step 2: Convert to fraction form
    675.62/932.34 = 410.15/x
  3. Step 3: Cross multiply
    675.62x = 932.34 × 410.15
  4. Step 4: Simplify right side
    675.62x = 382,399.25
  5. Step 5: Solve for x
    x = 382,399.25/675.62
  6. Step 6: Final answer
    x = 566.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.