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Finding the Fourth Proportional to 514.32, 710.25 and 488.61

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Solution

The fourth proportional to 514.32, 710.25 and 488.61 is: 674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.32 : 710.25 = 488.61 : x
  2. Step 2: Convert to fraction form
    514.32/710.25 = 488.61/x
  3. Step 3: Cross multiply
    514.32x = 710.25 × 488.61
  4. Step 4: Simplify right side
    514.32x = 347,035.25
  5. Step 5: Solve for x
    x = 347,035.25/514.32
  6. Step 6: Final answer
    x = 674.75

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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.