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Finding the Fourth Proportional to 572.59, 859.29 and 410.41

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Solution

The fourth proportional to 572.59, 859.29 and 410.41 is: 615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.59 : 859.29 = 410.41 : x
  2. Step 2: Convert to fraction form
    572.59/859.29 = 410.41/x
  3. Step 3: Cross multiply
    572.59x = 859.29 × 410.41
  4. Step 4: Simplify right side
    572.59x = 352,661.21
  5. Step 5: Solve for x
    x = 352,661.21/572.59
  6. Step 6: Final answer
    x = 615.91

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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.