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Finding the Fourth Proportional to 295.43, 442.28 and 264.16

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Solution

The fourth proportional to 295.43, 442.28 and 264.16 is: 395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.43 : 442.28 = 264.16 : x
  2. Step 2: Convert to fraction form
    295.43/442.28 = 264.16/x
  3. Step 3: Cross multiply
    295.43x = 442.28 × 264.16
  4. Step 4: Simplify right side
    295.43x = 116,832.24
  5. Step 5: Solve for x
    x = 116,832.24/295.43
  6. Step 6: Final answer
    x = 395.47

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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.