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Finding the Fourth Proportional to 930.69, 1,395.92 and 314.37

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Solution

The fourth proportional to 930.69, 1,395.92 and 314.37 is: 471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.69 : 1,395.92 = 314.37 : x
  2. Step 2: Convert to fraction form
    930.69/1,395.92 = 314.37/x
  3. Step 3: Cross multiply
    930.69x = 1,395.92 × 314.37
  4. Step 4: Simplify right side
    930.69x = 438,836.16
  5. Step 5: Solve for x
    x = 438,836.16/930.69
  6. Step 6: Final answer
    x = 471.52

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1.5x scale

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.