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Finding the Fourth Proportional to 708.18, 977.16 and 446.55

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Solution

The fourth proportional to 708.18, 977.16 and 446.55 is: 616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.18 : 977.16 = 446.55 : x
  2. Step 2: Convert to fraction form
    708.18/977.16 = 446.55/x
  3. Step 3: Cross multiply
    708.18x = 977.16 × 446.55
  4. Step 4: Simplify right side
    708.18x = 436,350.80
  5. Step 5: Solve for x
    x = 436,350.80/708.18
  6. Step 6: Final answer
    x = 616.16

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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.