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Finding the Fourth Proportional to 931.48, 1,396.46 and 411.10

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Solution

The fourth proportional to 931.48, 1,396.46 and 411.10 is: 616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.48 : 1,396.46 = 411.10 : x
  2. Step 2: Convert to fraction form
    931.48/1,396.46 = 411.10/x
  3. Step 3: Cross multiply
    931.48x = 1,396.46 × 411.10
  4. Step 4: Simplify right side
    931.48x = 574,084.71
  5. Step 5: Solve for x
    x = 574,084.71/931.48
  6. Step 6: Final answer
    x = 616.31

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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.