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Finding the Fourth Proportional to 507.24, 761.04 and 178.27

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Solution

The fourth proportional to 507.24, 761.04 and 178.27 is: 267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.24 : 761.04 = 178.27 : x
  2. Step 2: Convert to fraction form
    507.24/761.04 = 178.27/x
  3. Step 3: Cross multiply
    507.24x = 761.04 × 178.27
  4. Step 4: Simplify right side
    507.24x = 135,666.94
  5. Step 5: Solve for x
    x = 135,666.94/507.24
  6. Step 6: Final answer
    x = 267.46

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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.