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Finding the Fourth Proportional to 572.67, 860.22 and 409.86

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Solution

The fourth proportional to 572.67, 860.22 and 409.86 is: 615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.67 : 860.22 = 409.86 : x
  2. Step 2: Convert to fraction form
    572.67/860.22 = 409.86/x
  3. Step 3: Cross multiply
    572.67x = 860.22 × 409.86
  4. Step 4: Simplify right side
    572.67x = 352,569.77
  5. Step 5: Solve for x
    x = 352,569.77/572.67
  6. Step 6: Final answer
    x = 615.66

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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.