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Finding the Fourth Proportional to 508.18, 701.61 and 415.15

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Solution

The fourth proportional to 508.18, 701.61 and 415.15 is: 573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.18 : 701.61 = 415.15 : x
  2. Step 2: Convert to fraction form
    508.18/701.61 = 415.15/x
  3. Step 3: Cross multiply
    508.18x = 701.61 × 415.15
  4. Step 4: Simplify right side
    508.18x = 291,269.88
  5. Step 5: Solve for x
    x = 291,269.88/508.18
  6. Step 6: Final answer
    x = 573.17

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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.