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Finding the Fourth Proportional to 314.28, 469.26 and 295.92

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Solution

The fourth proportional to 314.28, 469.26 and 295.92 is: 441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.28 : 469.26 = 295.92 : x
  2. Step 2: Convert to fraction form
    314.28/469.26 = 295.92/x
  3. Step 3: Cross multiply
    314.28x = 469.26 × 295.92
  4. Step 4: Simplify right side
    314.28x = 138,863.42
  5. Step 5: Solve for x
    x = 138,863.42/314.28
  6. Step 6: Final answer
    x = 441.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.