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Finding the Fourth Proportional to 291.10, 431.52 and 286.52

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Solution

The fourth proportional to 291.10, 431.52 and 286.52 is: 424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.10 : 431.52 = 286.52 : x
  2. Step 2: Convert to fraction form
    291.10/431.52 = 286.52/x
  3. Step 3: Cross multiply
    291.10x = 431.52 × 286.52
  4. Step 4: Simplify right side
    291.10x = 123,639.11
  5. Step 5: Solve for x
    x = 123,639.11/291.10
  6. Step 6: Final answer
    x = 424.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.