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Finding the Fourth Proportional to 514.60, 710.50 and 470.76

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Solution

The fourth proportional to 514.60, 710.50 and 470.76 is: 649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.60 : 710.50 = 470.76 : x
  2. Step 2: Convert to fraction form
    514.60/710.50 = 470.76/x
  3. Step 3: Cross multiply
    514.60x = 710.50 × 470.76
  4. Step 4: Simplify right side
    514.60x = 334,474.98
  5. Step 5: Solve for x
    x = 334,474.98/514.60
  6. Step 6: Final answer
    x = 649.97

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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.