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Finding the Fourth Proportional to 395.61, 593.42 and 152.08

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Solution

The fourth proportional to 395.61, 593.42 and 152.08 is: 228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.61 : 593.42 = 152.08 : x
  2. Step 2: Convert to fraction form
    395.61/593.42 = 152.08/x
  3. Step 3: Cross multiply
    395.61x = 593.42 × 152.08
  4. Step 4: Simplify right side
    395.61x = 90,247.31
  5. Step 5: Solve for x
    x = 90,247.31/395.61
  6. Step 6: Final answer
    x = 228.12

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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.