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Finding the Fourth Proportional to 509.57, 763.99 and 162.71

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Solution

The fourth proportional to 509.57, 763.99 and 162.71 is: 243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.57 : 763.99 = 162.71 : x
  2. Step 2: Convert to fraction form
    509.57/763.99 = 162.71/x
  3. Step 3: Cross multiply
    509.57x = 763.99 × 162.71
  4. Step 4: Simplify right side
    509.57x = 124,307.45
  5. Step 5: Solve for x
    x = 124,307.45/509.57
  6. Step 6: Final answer
    x = 243.94

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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.