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Finding the Fourth Proportional to 297, 409.53 and 267.54

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Solution

The fourth proportional to 297, 409.53 and 267.54 is: 368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297 : 409.53 = 267.54 : x
  2. Step 2: Convert to fraction form
    297/409.53 = 267.54/x
  3. Step 3: Cross multiply
    297x = 409.53 × 267.54
  4. Step 4: Simplify right side
    297x = 109,565.66
  5. Step 5: Solve for x
    x = 109,565.66/297
  6. Step 6: Final answer
    x = 368.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.