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Finding the Fourth Proportional to 416.80, 575.30 and 251.02

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Solution

The fourth proportional to 416.80, 575.30 and 251.02 is: 346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.80 : 575.30 = 251.02 : x
  2. Step 2: Convert to fraction form
    416.80/575.30 = 251.02/x
  3. Step 3: Cross multiply
    416.80x = 575.30 × 251.02
  4. Step 4: Simplify right side
    416.80x = 144,411.81
  5. Step 5: Solve for x
    x = 144,411.81/416.80
  6. Step 6: Final answer
    x = 346.48

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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.