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Finding the Fourth Proportional to 930.52, 1,395.53 and 314.10

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Solution

The fourth proportional to 930.52, 1,395.53 and 314.10 is: 471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.52 : 1,395.53 = 314.10 : x
  2. Step 2: Convert to fraction form
    930.52/1,395.53 = 314.10/x
  3. Step 3: Cross multiply
    930.52x = 1,395.53 × 314.10
  4. Step 4: Simplify right side
    930.52x = 438,327.42
  5. Step 5: Solve for x
    x = 438,327.42/930.52
  6. Step 6: Final answer
    x = 471.06

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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.