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Finding the Fourth Proportional to 507.10, 760.65 and 425.80

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Solution

The fourth proportional to 507.10, 760.65 and 425.80 is: 638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.10 : 760.65 = 425.80 : x
  2. Step 2: Convert to fraction form
    507.10/760.65 = 425.80/x
  3. Step 3: Cross multiply
    507.10x = 760.65 × 425.80
  4. Step 4: Simplify right side
    507.10x = 323,884.77
  5. Step 5: Solve for x
    x = 323,884.77/507.10
  6. Step 6: Final answer
    x = 638.70

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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.