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Finding the Fourth Proportional to 292.08, 439.92 and 284.79

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Solution

The fourth proportional to 292.08, 439.92 and 284.79 is: 428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.08 : 439.92 = 284.79 : x
  2. Step 2: Convert to fraction form
    292.08/439.92 = 284.79/x
  3. Step 3: Cross multiply
    292.08x = 439.92 × 284.79
  4. Step 4: Simplify right side
    292.08x = 125,284.82
  5. Step 5: Solve for x
    x = 125,284.82/292.08
  6. Step 6: Final answer
    x = 428.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.