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Finding the Fourth Proportional to 659.10, 988.54 and 289.07

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Solution

The fourth proportional to 659.10, 988.54 and 289.07 is: 433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.10 : 988.54 = 289.07 : x
  2. Step 2: Convert to fraction form
    659.10/988.54 = 289.07/x
  3. Step 3: Cross multiply
    659.10x = 988.54 × 289.07
  4. Step 4: Simplify right side
    659.10x = 285,752.68
  5. Step 5: Solve for x
    x = 285,752.68/659.10
  6. Step 6: Final answer
    x = 433.55

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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.