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Finding the Fourth Proportional to 418.10, 575.06 and 342.87

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Solution

The fourth proportional to 418.10, 575.06 and 342.87 is: 471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.10 : 575.06 = 342.87 : x
  2. Step 2: Convert to fraction form
    418.10/575.06 = 342.87/x
  3. Step 3: Cross multiply
    418.10x = 575.06 × 342.87
  4. Step 4: Simplify right side
    418.10x = 197,169.11
  5. Step 5: Solve for x
    x = 197,169.11/418.10
  6. Step 6: Final answer
    x = 471.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.