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Finding the Fourth Proportional to 416.30, 621.02 and 348.26

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Solution

The fourth proportional to 416.30, 621.02 and 348.26 is: 519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.30 : 621.02 = 348.26 : x
  2. Step 2: Convert to fraction form
    416.30/621.02 = 348.26/x
  3. Step 3: Cross multiply
    416.30x = 621.02 × 348.26
  4. Step 4: Simplify right side
    416.30x = 216,276.43
  5. Step 5: Solve for x
    x = 216,276.43/416.30
  6. Step 6: Final answer
    x = 519.52

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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.