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Finding the Fourth Proportional to 710.70, 980.67 and 431.02

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Solution

The fourth proportional to 710.70, 980.67 and 431.02 is: 594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.70 : 980.67 = 431.02 : x
  2. Step 2: Convert to fraction form
    710.70/980.67 = 431.02/x
  3. Step 3: Cross multiply
    710.70x = 980.67 × 431.02
  4. Step 4: Simplify right side
    710.70x = 422,688.38
  5. Step 5: Solve for x
    x = 422,688.38/710.70
  6. Step 6: Final answer
    x = 594.75

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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.