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Finding the Fourth Proportional to 507.63, 761.10 and 178.49

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Solution

The fourth proportional to 507.63, 761.10 and 178.49 is: 267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.63 : 761.10 = 178.49 : x
  2. Step 2: Convert to fraction form
    507.63/761.10 = 178.49/x
  3. Step 3: Cross multiply
    507.63x = 761.10 × 178.49
  4. Step 4: Simplify right side
    507.63x = 135,847.20
  5. Step 5: Solve for x
    x = 135,847.20/507.63
  6. Step 6: Final answer
    x = 267.61

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Double scale
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Similar ratio
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1.5x scale

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.