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Finding the Fourth Proportional to 572.58, 859.41 and 410.31

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Solution

The fourth proportional to 572.58, 859.41 and 410.31 is: 615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.58 : 859.41 = 410.31 : x
  2. Step 2: Convert to fraction form
    572.58/859.41 = 410.31/x
  3. Step 3: Cross multiply
    572.58x = 859.41 × 410.31
  4. Step 4: Simplify right side
    572.58x = 352,624.52
  5. Step 5: Solve for x
    x = 352,624.52/572.58
  6. Step 6: Final answer
    x = 615.85

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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.