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Finding the Fourth Proportional to 508.18, 761.82 and 386.14

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Solution

The fourth proportional to 508.18, 761.82 and 386.14 is: 578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.18 : 761.82 = 386.14 : x
  2. Step 2: Convert to fraction form
    508.18/761.82 = 386.14/x
  3. Step 3: Cross multiply
    508.18x = 761.82 × 386.14
  4. Step 4: Simplify right side
    508.18x = 294,169.17
  5. Step 5: Solve for x
    x = 294,169.17/508.18
  6. Step 6: Final answer
    x = 578.87

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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.