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Finding the Fourth Proportional to 428.99, 591.69 and 414.71

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Solution

The fourth proportional to 428.99, 591.69 and 414.71 is: 571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.99 : 591.69 = 414.71 : x
  2. Step 2: Convert to fraction form
    428.99/591.69 = 414.71/x
  3. Step 3: Cross multiply
    428.99x = 591.69 × 414.71
  4. Step 4: Simplify right side
    428.99x = 245,376.80
  5. Step 5: Solve for x
    x = 245,376.80/428.99
  6. Step 6: Final answer
    x = 571.99

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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.