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Finding the Fourth Proportional to 958.47, 1,438.30 and 410.65

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Solution

The fourth proportional to 958.47, 1,438.30 and 410.65 is: 616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.47 : 1,438.30 = 410.65 : x
  2. Step 2: Convert to fraction form
    958.47/1,438.30 = 410.65/x
  3. Step 3: Cross multiply
    958.47x = 1,438.30 × 410.65
  4. Step 4: Simplify right side
    958.47x = 590,637.90
  5. Step 5: Solve for x
    x = 590,637.90/958.47
  6. Step 6: Final answer
    x = 616.23

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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.