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Finding the Fourth Proportional to 312.80, 429.86 and 298.52

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Solution

The fourth proportional to 312.80, 429.86 and 298.52 is: 410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.80 : 429.86 = 298.52 : x
  2. Step 2: Convert to fraction form
    312.80/429.86 = 298.52/x
  3. Step 3: Cross multiply
    312.80x = 429.86 × 298.52
  4. Step 4: Simplify right side
    312.80x = 128,321.81
  5. Step 5: Solve for x
    x = 128,321.81/312.80
  6. Step 6: Final answer
    x = 410.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.