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Finding the Fourth Proportional to 630.64, 868.14 and 546.60

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Solution

The fourth proportional to 630.64, 868.14 and 546.60 is: 752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.64 : 868.14 = 546.60 : x
  2. Step 2: Convert to fraction form
    630.64/868.14 = 546.60/x
  3. Step 3: Cross multiply
    630.64x = 868.14 × 546.60
  4. Step 4: Simplify right side
    630.64x = 474,525.32
  5. Step 5: Solve for x
    x = 474,525.32/630.64
  6. Step 6: Final answer
    x = 752.45

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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.