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Finding the Fourth Proportional to 931.64, 1,397.10 and 306.79

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Solution

The fourth proportional to 931.64, 1,397.10 and 306.79 is: 460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.64 : 1,397.10 = 306.79 : x
  2. Step 2: Convert to fraction form
    931.64/1,397.10 = 306.79/x
  3. Step 3: Cross multiply
    931.64x = 1,397.10 × 306.79
  4. Step 4: Simplify right side
    931.64x = 428,616.31
  5. Step 5: Solve for x
    x = 428,616.31/931.64
  6. Step 6: Final answer
    x = 460.07

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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.