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Finding the Fourth Proportional to 509.71, 763.44 and 289.83

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Solution

The fourth proportional to 509.71, 763.44 and 289.83 is: 434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.71 : 763.44 = 289.83 : x
  2. Step 2: Convert to fraction form
    509.71/763.44 = 289.83/x
  3. Step 3: Cross multiply
    509.71x = 763.44 × 289.83
  4. Step 4: Simplify right side
    509.71x = 221,267.82
  5. Step 5: Solve for x
    x = 221,267.82/509.71
  6. Step 6: Final answer
    x = 434.11

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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.