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Finding the Fourth Proportional to 710.60, 980.67 and 411.90

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Solution

The fourth proportional to 710.60, 980.67 and 411.90 is: 568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.60 : 980.67 = 411.90 : x
  2. Step 2: Convert to fraction form
    710.60/980.67 = 411.90/x
  3. Step 3: Cross multiply
    710.60x = 980.67 × 411.90
  4. Step 4: Simplify right side
    710.60x = 403,931.01
  5. Step 5: Solve for x
    x = 403,931.01/710.60
  6. Step 6: Final answer
    x = 568.44

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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.