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Finding the Fourth Proportional to 295.53, 407.43 and 240.18

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Solution

The fourth proportional to 295.53, 407.43 and 240.18 is: 331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.53 : 407.43 = 240.18 : x
  2. Step 2: Convert to fraction form
    295.53/407.43 = 240.18/x
  3. Step 3: Cross multiply
    295.53x = 407.43 × 240.18
  4. Step 4: Simplify right side
    295.53x = 97,856.54
  5. Step 5: Solve for x
    x = 97,856.54/295.53
  6. Step 6: Final answer
    x = 331.12

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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.