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Finding the Fourth Proportional to 295.42, 442.09 and 257.32

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Solution

The fourth proportional to 295.42, 442.09 and 257.32 is: 385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.42 : 442.09 = 257.32 : x
  2. Step 2: Convert to fraction form
    295.42/442.09 = 257.32/x
  3. Step 3: Cross multiply
    295.42x = 442.09 × 257.32
  4. Step 4: Simplify right side
    295.42x = 113,758.60
  5. Step 5: Solve for x
    x = 113,758.60/295.42
  6. Step 6: Final answer
    x = 385.07

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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.