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Finding the Fourth Proportional to 710.18, 980.52 and 445.02

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Solution

The fourth proportional to 710.18, 980.52 and 445.02 is: 614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.18 : 980.52 = 445.02 : x
  2. Step 2: Convert to fraction form
    710.18/980.52 = 445.02/x
  3. Step 3: Cross multiply
    710.18x = 980.52 × 445.02
  4. Step 4: Simplify right side
    710.18x = 436,351.01
  5. Step 5: Solve for x
    x = 436,351.01/710.18
  6. Step 6: Final answer
    x = 614.42

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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.