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Finding the Fourth Proportional to 427.98, 590.85 and 296.76

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Solution

The fourth proportional to 427.98, 590.85 and 296.76 is: 409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.98 : 590.85 = 296.76 : x
  2. Step 2: Convert to fraction form
    427.98/590.85 = 296.76/x
  3. Step 3: Cross multiply
    427.98x = 590.85 × 296.76
  4. Step 4: Simplify right side
    427.98x = 175,342.86
  5. Step 5: Solve for x
    x = 175,342.86/427.98
  6. Step 6: Final answer
    x = 409.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.