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Finding the Fourth Proportional to 663.69, 915.81 and 498.35

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Solution

The fourth proportional to 663.69, 915.81 and 498.35 is: 687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.69 : 915.81 = 498.35 : x
  2. Step 2: Convert to fraction form
    663.69/915.81 = 498.35/x
  3. Step 3: Cross multiply
    663.69x = 915.81 × 498.35
  4. Step 4: Simplify right side
    663.69x = 456,394.33
  5. Step 5: Solve for x
    x = 456,394.33/663.69
  6. Step 6: Final answer
    x = 687.66

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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.