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Finding the Fourth Proportional to 389.11, 581.92 and 346.05

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Solution

The fourth proportional to 389.11, 581.92 and 346.05 is: 517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.11 : 581.92 = 346.05 : x
  2. Step 2: Convert to fraction form
    389.11/581.92 = 346.05/x
  3. Step 3: Cross multiply
    389.11x = 581.92 × 346.05
  4. Step 4: Simplify right side
    389.11x = 201,373.42
  5. Step 5: Solve for x
    x = 201,373.42/389.11
  6. Step 6: Final answer
    x = 517.52

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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.