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Finding the Fourth Proportional to 605.61, 908.46 and 507.24

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Solution

The fourth proportional to 605.61, 908.46 and 507.24 is: 760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.61 : 908.46 = 507.24 : x
  2. Step 2: Convert to fraction form
    605.61/908.46 = 507.24/x
  3. Step 3: Cross multiply
    605.61x = 908.46 × 507.24
  4. Step 4: Simplify right side
    605.61x = 460,807.25
  5. Step 5: Solve for x
    x = 460,807.25/605.61
  6. Step 6: Final answer
    x = 760.90

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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.