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Finding the Fourth Proportional to 297.50, 409.70 and 291.14

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Solution

The fourth proportional to 297.50, 409.70 and 291.14 is: 400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.50 : 409.70 = 291.14 : x
  2. Step 2: Convert to fraction form
    297.50/409.70 = 291.14/x
  3. Step 3: Cross multiply
    297.50x = 409.70 × 291.14
  4. Step 4: Simplify right side
    297.50x = 119,276.55
  5. Step 5: Solve for x
    x = 119,276.55/297.50
  6. Step 6: Final answer
    x = 400.94

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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.