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Finding the Fourth Proportional to 295.64, 408.76 and 282.50

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Solution

The fourth proportional to 295.64, 408.76 and 282.50 is: 390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.64 : 408.76 = 282.50 : x
  2. Step 2: Convert to fraction form
    295.64/408.76 = 282.50/x
  3. Step 3: Cross multiply
    295.64x = 408.76 × 282.50
  4. Step 4: Simplify right side
    295.64x = 115,474.70
  5. Step 5: Solve for x
    x = 115,474.70/295.64
  6. Step 6: Final answer
    x = 390.59

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