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Finding the Fourth Proportional to 415.09, 621.95 and 342.19

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Solution

The fourth proportional to 415.09, 621.95 and 342.19 is: 512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.09 : 621.95 = 342.19 : x
  2. Step 2: Convert to fraction form
    415.09/621.95 = 342.19/x
  3. Step 3: Cross multiply
    415.09x = 621.95 × 342.19
  4. Step 4: Simplify right side
    415.09x = 212,824.14
  5. Step 5: Solve for x
    x = 212,824.14/415.09
  6. Step 6: Final answer
    x = 512.72

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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.