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Finding the Fourth Proportional to 708.40, 977.60 and 397.88

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Solution

The fourth proportional to 708.40, 977.60 and 397.88 is: 549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.40 : 977.60 = 397.88 : x
  2. Step 2: Convert to fraction form
    708.40/977.60 = 397.88/x
  3. Step 3: Cross multiply
    708.40x = 977.60 × 397.88
  4. Step 4: Simplify right side
    708.40x = 388,967.49
  5. Step 5: Solve for x
    x = 388,967.49/708.40
  6. Step 6: Final answer
    x = 549.08

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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.