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Finding the Fourth Proportional to 574.18, 859.44 and 411.06

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Solution

The fourth proportional to 574.18, 859.44 and 411.06 is: 615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.18 : 859.44 = 411.06 : x
  2. Step 2: Convert to fraction form
    574.18/859.44 = 411.06/x
  3. Step 3: Cross multiply
    574.18x = 859.44 × 411.06
  4. Step 4: Simplify right side
    574.18x = 353,281.41
  5. Step 5: Solve for x
    x = 353,281.41/574.18
  6. Step 6: Final answer
    x = 615.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.