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Finding the Fourth Proportional to 958.16, 1,436.22 and 410.03

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Solution

The fourth proportional to 958.16, 1,436.22 and 410.03 is: 614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.16 : 1,436.22 = 410.03 : x
  2. Step 2: Convert to fraction form
    958.16/1,436.22 = 410.03/x
  3. Step 3: Cross multiply
    958.16x = 1,436.22 × 410.03
  4. Step 4: Simplify right side
    958.16x = 588,886.11
  5. Step 5: Solve for x
    x = 588,886.11/958.16
  6. Step 6: Final answer
    x = 614.60

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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.