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Finding the Fourth Proportional to 395.61, 593.67 and 152.13

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Solution

The fourth proportional to 395.61, 593.67 and 152.13 is: 228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.61 : 593.67 = 152.13 : x
  2. Step 2: Convert to fraction form
    395.61/593.67 = 152.13/x
  3. Step 3: Cross multiply
    395.61x = 593.67 × 152.13
  4. Step 4: Simplify right side
    395.61x = 90,315.02
  5. Step 5: Solve for x
    x = 90,315.02/395.61
  6. Step 6: Final answer
    x = 228.29

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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.