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Finding the Fourth Proportional to 708.63, 977.90 and 398.13

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Solution

The fourth proportional to 708.63, 977.90 and 398.13 is: 549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.63 : 977.90 = 398.13 : x
  2. Step 2: Convert to fraction form
    708.63/977.90 = 398.13/x
  3. Step 3: Cross multiply
    708.63x = 977.90 × 398.13
  4. Step 4: Simplify right side
    708.63x = 389,331.33
  5. Step 5: Solve for x
    x = 389,331.33/708.63
  6. Step 6: Final answer
    x = 549.41

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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.