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Finding the Fourth Proportional to 659.29, 988.48 and 288.92

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Solution

The fourth proportional to 659.29, 988.48 and 288.92 is: 433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.29 : 988.48 = 288.92 : x
  2. Step 2: Convert to fraction form
    659.29/988.48 = 288.92/x
  3. Step 3: Cross multiply
    659.29x = 988.48 × 288.92
  4. Step 4: Simplify right side
    659.29x = 285,585.25
  5. Step 5: Solve for x
    x = 285,585.25/659.29
  6. Step 6: Final answer
    x = 433.17

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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.