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Finding the Fourth Proportional to 291.16, 434.12 and 272.53

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Solution

The fourth proportional to 291.16, 434.12 and 272.53 is: 406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.16 : 434.12 = 272.53 : x
  2. Step 2: Convert to fraction form
    291.16/434.12 = 272.53/x
  3. Step 3: Cross multiply
    291.16x = 434.12 × 272.53
  4. Step 4: Simplify right side
    291.16x = 118,310.72
  5. Step 5: Solve for x
    x = 118,310.72/291.16
  6. Step 6: Final answer
    x = 406.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.