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Finding the Fourth Proportional to 507.69, 761.46 and 142.53

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Solution

The fourth proportional to 507.69, 761.46 and 142.53 is: 213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.69 : 761.46 = 142.53 : x
  2. Step 2: Convert to fraction form
    507.69/761.46 = 142.53/x
  3. Step 3: Cross multiply
    507.69x = 761.46 × 142.53
  4. Step 4: Simplify right side
    507.69x = 108,530.89
  5. Step 5: Solve for x
    x = 108,530.89/507.69
  6. Step 6: Final answer
    x = 213.77

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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.