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Finding the Fourth Proportional to 710.39, 980.34 and 399.89

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Solution

The fourth proportional to 710.39, 980.34 and 399.89 is: 551.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.39 : 980.34 = 399.89 : x
  2. Step 2: Convert to fraction form
    710.39/980.34 = 399.89/x
  3. Step 3: Cross multiply
    710.39x = 980.34 × 399.89
  4. Step 4: Simplify right side
    710.39x = 392,028.16
  5. Step 5: Solve for x
    x = 392,028.16/710.39
  6. Step 6: Final answer
    x = 551.85

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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.