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Finding the Fourth Proportional to 572.52, 858.76 and 380.28

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Solution

The fourth proportional to 572.52, 858.76 and 380.28 is: 570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.52 : 858.76 = 380.28 : x
  2. Step 2: Convert to fraction form
    572.52/858.76 = 380.28/x
  3. Step 3: Cross multiply
    572.52x = 858.76 × 380.28
  4. Step 4: Simplify right side
    572.52x = 326,569.25
  5. Step 5: Solve for x
    x = 326,569.25/572.52
  6. Step 6: Final answer
    x = 570.41

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