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Finding the Fourth Proportional to 291.74, 437.68 and 286.57

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Solution

The fourth proportional to 291.74, 437.68 and 286.57 is: 429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.74 : 437.68 = 286.57 : x
  2. Step 2: Convert to fraction form
    291.74/437.68 = 286.57/x
  3. Step 3: Cross multiply
    291.74x = 437.68 × 286.57
  4. Step 4: Simplify right side
    291.74x = 125,424.52
  5. Step 5: Solve for x
    x = 125,424.52/291.74
  6. Step 6: Final answer
    x = 429.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.