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Finding the Fourth Proportional to 513.20, 769.80 and 457.40

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Solution

The fourth proportional to 513.20, 769.80 and 457.40 is: 686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.20 : 769.80 = 457.40 : x
  2. Step 2: Convert to fraction form
    513.20/769.80 = 457.40/x
  3. Step 3: Cross multiply
    513.20x = 769.80 × 457.40
  4. Step 4: Simplify right side
    513.20x = 352,106.52
  5. Step 5: Solve for x
    x = 352,106.52/513.20
  6. Step 6: Final answer
    x = 686.10

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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.