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Finding the Fourth Proportional to 708.64, 977.58 and 459.88

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Solution

The fourth proportional to 708.64, 977.58 and 459.88 is: 634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.64 : 977.58 = 459.88 : x
  2. Step 2: Convert to fraction form
    708.64/977.58 = 459.88/x
  3. Step 3: Cross multiply
    708.64x = 977.58 × 459.88
  4. Step 4: Simplify right side
    708.64x = 449,569.49
  5. Step 5: Solve for x
    x = 449,569.49/708.64
  6. Step 6: Final answer
    x = 634.41

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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.