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Finding the Fourth Proportional to 383.24, 572.16 and 360.06

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Solution

The fourth proportional to 383.24, 572.16 and 360.06 is: 537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.24 : 572.16 = 360.06 : x
  2. Step 2: Convert to fraction form
    383.24/572.16 = 360.06/x
  3. Step 3: Cross multiply
    383.24x = 572.16 × 360.06
  4. Step 4: Simplify right side
    383.24x = 206,010.13
  5. Step 5: Solve for x
    x = 206,010.13/383.24
  6. Step 6: Final answer
    x = 537.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.