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Finding the Fourth Proportional to 509.12, 760.89 and 371.24

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Solution

The fourth proportional to 509.12, 760.89 and 371.24 is: 554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.12 : 760.89 = 371.24 : x
  2. Step 2: Convert to fraction form
    509.12/760.89 = 371.24/x
  3. Step 3: Cross multiply
    509.12x = 760.89 × 371.24
  4. Step 4: Simplify right side
    509.12x = 282,472.80
  5. Step 5: Solve for x
    x = 282,472.80/509.12
  6. Step 6: Final answer
    x = 554.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.