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Finding the Fourth Proportional to 292.60, 437.88 and 282.88

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Solution

The fourth proportional to 292.60, 437.88 and 282.88 is: 423.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.60 : 437.88 = 282.88 : x
  2. Step 2: Convert to fraction form
    292.60/437.88 = 282.88/x
  3. Step 3: Cross multiply
    292.60x = 437.88 × 282.88
  4. Step 4: Simplify right side
    292.60x = 123,867.49
  5. Step 5: Solve for x
    x = 123,867.49/292.60
  6. Step 6: Final answer
    x = 423.33

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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.