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Finding the Fourth Proportional to 428.93, 591.68 and 296.13

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Solution

The fourth proportional to 428.93, 591.68 and 296.13 is: 408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.93 : 591.68 = 296.13 : x
  2. Step 2: Convert to fraction form
    428.93/591.68 = 296.13/x
  3. Step 3: Cross multiply
    428.93x = 591.68 × 296.13
  4. Step 4: Simplify right side
    428.93x = 175,214.20
  5. Step 5: Solve for x
    x = 175,214.20/428.93
  6. Step 6: Final answer
    x = 408.49

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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.