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Finding the Fourth Proportional to 295.67, 443.10 and 295.40

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Solution

The fourth proportional to 295.67, 443.10 and 295.40 is: 442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.67 : 443.10 = 295.40 : x
  2. Step 2: Convert to fraction form
    295.67/443.10 = 295.40/x
  3. Step 3: Cross multiply
    295.67x = 443.10 × 295.40
  4. Step 4: Simplify right side
    295.67x = 130,891.74
  5. Step 5: Solve for x
    x = 130,891.74/295.67
  6. Step 6: Final answer
    x = 442.70

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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.