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Finding the Fourth Proportional to 514.87, 768.53 and 471.58

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Solution

The fourth proportional to 514.87, 768.53 and 471.58 is: 703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.87 : 768.53 = 471.58 : x
  2. Step 2: Convert to fraction form
    514.87/768.53 = 471.58/x
  3. Step 3: Cross multiply
    514.87x = 768.53 × 471.58
  4. Step 4: Simplify right side
    514.87x = 362,423.38
  5. Step 5: Solve for x
    x = 362,423.38/514.87
  6. Step 6: Final answer
    x = 703.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.