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Finding the Fourth Proportional to 428.79, 591.44 and 414.52

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Solution

The fourth proportional to 428.79, 591.44 and 414.52 is: 571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.79 : 591.44 = 414.52 : x
  2. Step 2: Convert to fraction form
    428.79/591.44 = 414.52/x
  3. Step 3: Cross multiply
    428.79x = 591.44 × 414.52
  4. Step 4: Simplify right side
    428.79x = 245,160.16
  5. Step 5: Solve for x
    x = 245,160.16/428.79
  6. Step 6: Final answer
    x = 571.74

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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.