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Finding the Fourth Proportional to 427.84, 590.46 and 296.92

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Solution

The fourth proportional to 427.84, 590.46 and 296.92 is: 409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.84 : 590.46 = 296.92 : x
  2. Step 2: Convert to fraction form
    427.84/590.46 = 296.92/x
  3. Step 3: Cross multiply
    427.84x = 590.46 × 296.92
  4. Step 4: Simplify right side
    427.84x = 175,319.38
  5. Step 5: Solve for x
    x = 175,319.38/427.84
  6. Step 6: Final answer
    x = 409.78

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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.