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Finding the Fourth Proportional to 428.62, 591.33 and 316.86

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Solution

The fourth proportional to 428.62, 591.33 and 316.86 is: 437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.62 : 591.33 = 316.86 : x
  2. Step 2: Convert to fraction form
    428.62/591.33 = 316.86/x
  3. Step 3: Cross multiply
    428.62x = 591.33 × 316.86
  4. Step 4: Simplify right side
    428.62x = 187,368.82
  5. Step 5: Solve for x
    x = 187,368.82/428.62
  6. Step 6: Final answer
    x = 437.14

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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.