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Finding the Fourth Proportional to 295.52, 442.67 and 282.15

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Solution

The fourth proportional to 295.52, 442.67 and 282.15 is: 422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.52 : 442.67 = 282.15 : x
  2. Step 2: Convert to fraction form
    295.52/442.67 = 282.15/x
  3. Step 3: Cross multiply
    295.52x = 442.67 × 282.15
  4. Step 4: Simplify right side
    295.52x = 124,897.93
  5. Step 5: Solve for x
    x = 124,897.93/295.52
  6. Step 6: Final answer
    x = 422.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.