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Finding the Fourth Proportional to 665.85, 918.17 and 499.77

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Solution

The fourth proportional to 665.85, 918.17 and 499.77 is: 689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.85 : 918.17 = 499.77 : x
  2. Step 2: Convert to fraction form
    665.85/918.17 = 499.77/x
  3. Step 3: Cross multiply
    665.85x = 918.17 × 499.77
  4. Step 4: Simplify right side
    665.85x = 458,873.20
  5. Step 5: Solve for x
    x = 458,873.20/665.85
  6. Step 6: Final answer
    x = 689.15

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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.