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Finding the Fourth Proportional to 514.92, 771.72 and 457.08

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Solution

The fourth proportional to 514.92, 771.72 and 457.08 is: 685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.92 : 771.72 = 457.08 : x
  2. Step 2: Convert to fraction form
    514.92/771.72 = 457.08/x
  3. Step 3: Cross multiply
    514.92x = 771.72 × 457.08
  4. Step 4: Simplify right side
    514.92x = 352,737.78
  5. Step 5: Solve for x
    x = 352,737.78/514.92
  6. Step 6: Final answer
    x = 685.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.