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Finding the Fourth Proportional to 416.48, 621.68 and 386.44

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Solution

The fourth proportional to 416.48, 621.68 and 386.44 is: 576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.48 : 621.68 = 386.44 : x
  2. Step 2: Convert to fraction form
    416.48/621.68 = 386.44/x
  3. Step 3: Cross multiply
    416.48x = 621.68 × 386.44
  4. Step 4: Simplify right side
    416.48x = 240,238.53
  5. Step 5: Solve for x
    x = 240,238.53/416.48
  6. Step 6: Final answer
    x = 576.84

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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.