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Finding the Fourth Proportional to 416.61, 575.16 and 250.89

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Solution

The fourth proportional to 416.61, 575.16 and 250.89 is: 346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.61 : 575.16 = 250.89 : x
  2. Step 2: Convert to fraction form
    416.61/575.16 = 250.89/x
  3. Step 3: Cross multiply
    416.61x = 575.16 × 250.89
  4. Step 4: Simplify right side
    416.61x = 144,301.89
  5. Step 5: Solve for x
    x = 144,301.89/416.61
  6. Step 6: Final answer
    x = 346.37

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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.