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Finding the Fourth Proportional to 508.20, 761.34 and 291.12

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Solution

The fourth proportional to 508.20, 761.34 and 291.12 is: 436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.20 : 761.34 = 291.12 : x
  2. Step 2: Convert to fraction form
    508.20/761.34 = 291.12/x
  3. Step 3: Cross multiply
    508.20x = 761.34 × 291.12
  4. Step 4: Simplify right side
    508.20x = 221,641.30
  5. Step 5: Solve for x
    x = 221,641.30/508.20
  6. Step 6: Final answer
    x = 436.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.