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Finding the Fourth Proportional to 291.49, 435.13 and 249.91

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Solution

The fourth proportional to 291.49, 435.13 and 249.91 is: 373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.49 : 435.13 = 249.91 : x
  2. Step 2: Convert to fraction form
    291.49/435.13 = 249.91/x
  3. Step 3: Cross multiply
    291.49x = 435.13 × 249.91
  4. Step 4: Simplify right side
    291.49x = 108,743.34
  5. Step 5: Solve for x
    x = 108,743.34/291.49
  6. Step 6: Final answer
    x = 373.06

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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.