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Finding the Fourth Proportional to 930.68, 1,395.61 and 314.23

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Solution

The fourth proportional to 930.68, 1,395.61 and 314.23 is: 471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.68 : 1,395.61 = 314.23 : x
  2. Step 2: Convert to fraction form
    930.68/1,395.61 = 314.23/x
  3. Step 3: Cross multiply
    930.68x = 1,395.61 × 314.23
  4. Step 4: Simplify right side
    930.68x = 438,538.26
  5. Step 5: Solve for x
    x = 438,538.26/930.68
  6. Step 6: Final answer
    x = 471.20

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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.