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Finding the Fourth Proportional to 710.29, 980.25 and 399.81

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Solution

The fourth proportional to 710.29, 980.25 and 399.81 is: 551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.29 : 980.25 = 399.81 : x
  2. Step 2: Convert to fraction form
    710.29/980.25 = 399.81/x
  3. Step 3: Cross multiply
    710.29x = 980.25 × 399.81
  4. Step 4: Simplify right side
    710.29x = 391,911.75
  5. Step 5: Solve for x
    x = 391,911.75/710.29
  6. Step 6: Final answer
    x = 551.76

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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.