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Finding the Fourth Proportional to 428.74, 591.69 and 297.70

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Solution

The fourth proportional to 428.74, 591.69 and 297.70 is: 410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.74 : 591.69 = 297.70 : x
  2. Step 2: Convert to fraction form
    428.74/591.69 = 297.70/x
  3. Step 3: Cross multiply
    428.74x = 591.69 × 297.70
  4. Step 4: Simplify right side
    428.74x = 176,146.11
  5. Step 5: Solve for x
    x = 176,146.11/428.74
  6. Step 6: Final answer
    x = 410.85

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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.