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Finding the Fourth Proportional to 929.14, 1,393.17 and 312.49

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Solution

The fourth proportional to 929.14, 1,393.17 and 312.49 is: 468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.14 : 1,393.17 = 312.49 : x
  2. Step 2: Convert to fraction form
    929.14/1,393.17 = 312.49/x
  3. Step 3: Cross multiply
    929.14x = 1,393.17 × 312.49
  4. Step 4: Simplify right side
    929.14x = 435,351.69
  5. Step 5: Solve for x
    x = 435,351.69/929.14
  6. Step 6: Final answer
    x = 468.55

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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.