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Finding the Fourth Proportional to 308.88, 460.80 and 284.58

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Solution

The fourth proportional to 308.88, 460.80 and 284.58 is: 424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.88 : 460.80 = 284.58 : x
  2. Step 2: Convert to fraction form
    308.88/460.80 = 284.58/x
  3. Step 3: Cross multiply
    308.88x = 460.80 × 284.58
  4. Step 4: Simplify right side
    308.88x = 131,134.46
  5. Step 5: Solve for x
    x = 131,134.46/308.88
  6. Step 6: Final answer
    x = 424.55

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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.