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Finding the Fourth Proportional to 931.35, 1,395.22 and 410.12

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Solution

The fourth proportional to 931.35, 1,395.22 and 410.12 is: 614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.35 : 1,395.22 = 410.12 : x
  2. Step 2: Convert to fraction form
    931.35/1,395.22 = 410.12/x
  3. Step 3: Cross multiply
    931.35x = 1,395.22 × 410.12
  4. Step 4: Simplify right side
    931.35x = 572,207.63
  5. Step 5: Solve for x
    x = 572,207.63/931.35
  6. Step 6: Final answer
    x = 614.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.