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Finding the Fourth Proportional to 663.65, 915.85 and 398.00

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Solution

The fourth proportional to 663.65, 915.85 and 398.00 is: 549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.65 : 915.85 = 398.00 : x
  2. Step 2: Convert to fraction form
    663.65/915.85 = 398.00/x
  3. Step 3: Cross multiply
    663.65x = 915.85 × 398.00
  4. Step 4: Simplify right side
    663.65x = 364,502.73
  5. Step 5: Solve for x
    x = 364,502.73/663.65
  6. Step 6: Final answer
    x = 549.24

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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.