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Finding the Fourth Proportional to 663.68, 915.36 and 453.98

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Solution

The fourth proportional to 663.68, 915.36 and 453.98 is: 626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.68 : 915.36 = 453.98 : x
  2. Step 2: Convert to fraction form
    663.68/915.36 = 453.98/x
  3. Step 3: Cross multiply
    663.68x = 915.36 × 453.98
  4. Step 4: Simplify right side
    663.68x = 415,555.13
  5. Step 5: Solve for x
    x = 415,555.13/663.68
  6. Step 6: Final answer
    x = 626.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.