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Finding the Fourth Proportional to 310.52, 428 and 232.76

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Solution

The fourth proportional to 310.52, 428 and 232.76 is: 320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.52 : 428 = 232.76 : x
  2. Step 2: Convert to fraction form
    310.52/428 = 232.76/x
  3. Step 3: Cross multiply
    310.52x = 428 × 232.76
  4. Step 4: Simplify right side
    310.52x = 99,621.28
  5. Step 5: Solve for x
    x = 99,621.28/310.52
  6. Step 6: Final answer
    x = 320.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.