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Finding the Fourth Proportional to 383.86, 572.84 and 342.86

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Solution

The fourth proportional to 383.86, 572.84 and 342.86 is: 511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.86 : 572.84 = 342.86 : x
  2. Step 2: Convert to fraction form
    383.86/572.84 = 342.86/x
  3. Step 3: Cross multiply
    383.86x = 572.84 × 342.86
  4. Step 4: Simplify right side
    383.86x = 196,402.56
  5. Step 5: Solve for x
    x = 196,402.56/383.86
  6. Step 6: Final answer
    x = 511.65

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Why These Related Problems?

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