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Finding the Fourth Proportional to 663.64, 915.69 and 564.46

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Solution

The fourth proportional to 663.64, 915.69 and 564.46 is: 778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.64 : 915.69 = 564.46 : x
  2. Step 2: Convert to fraction form
    663.64/915.69 = 564.46/x
  3. Step 3: Cross multiply
    663.64x = 915.69 × 564.46
  4. Step 4: Simplify right side
    663.64x = 516,870.38
  5. Step 5: Solve for x
    x = 516,870.38/663.64
  6. Step 6: Final answer
    x = 778.84

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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.