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Finding the Fourth Proportional to 930.59, 1,395.86 and 314.29

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Solution

The fourth proportional to 930.59, 1,395.86 and 314.29 is: 471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.59 : 1,395.86 = 314.29 : x
  2. Step 2: Convert to fraction form
    930.59/1,395.86 = 314.29/x
  3. Step 3: Cross multiply
    930.59x = 1,395.86 × 314.29
  4. Step 4: Simplify right side
    930.59x = 438,704.84
  5. Step 5: Solve for x
    x = 438,704.84/930.59
  6. Step 6: Final answer
    x = 471.43

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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.