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Finding the Fourth Proportional to 659.47, 989.42 and 294.19

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Solution

The fourth proportional to 659.47, 989.42 and 294.19 is: 441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.47 : 989.42 = 294.19 : x
  2. Step 2: Convert to fraction form
    659.47/989.42 = 294.19/x
  3. Step 3: Cross multiply
    659.47x = 989.42 × 294.19
  4. Step 4: Simplify right side
    659.47x = 291,071.05
  5. Step 5: Solve for x
    x = 291,071.05/659.47
  6. Step 6: Final answer
    x = 441.37

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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.