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Finding the Fourth Proportional to 416.15, 623.45 and 348.11

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Solution

The fourth proportional to 416.15, 623.45 and 348.11 is: 521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.15 : 623.45 = 348.11 : x
  2. Step 2: Convert to fraction form
    416.15/623.45 = 348.11/x
  3. Step 3: Cross multiply
    416.15x = 623.45 × 348.11
  4. Step 4: Simplify right side
    416.15x = 217,027.44
  5. Step 5: Solve for x
    x = 217,027.44/416.15
  6. Step 6: Final answer
    x = 521.51

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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.