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Finding the Fourth Proportional to 364.08, 542.37 and 341.67

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Solution

The fourth proportional to 364.08, 542.37 and 341.67 is: 508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.08 : 542.37 = 341.67 : x
  2. Step 2: Convert to fraction form
    364.08/542.37 = 341.67/x
  3. Step 3: Cross multiply
    364.08x = 542.37 × 341.67
  4. Step 4: Simplify right side
    364.08x = 185,311.56
  5. Step 5: Solve for x
    x = 185,311.56/364.08
  6. Step 6: Final answer
    x = 508.99

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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.