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Finding the Fourth Proportional to 572.89, 860.51 and 378.17

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Solution

The fourth proportional to 572.89, 860.51 and 378.17 is: 568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.89 : 860.51 = 378.17 : x
  2. Step 2: Convert to fraction form
    572.89/860.51 = 378.17/x
  3. Step 3: Cross multiply
    572.89x = 860.51 × 378.17
  4. Step 4: Simplify right side
    572.89x = 325,417.18
  5. Step 5: Solve for x
    x = 325,417.18/572.89
  6. Step 6: Final answer
    x = 568.03

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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.