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Finding the Fourth Proportional to 416.88, 575.08 and 251

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Solution

The fourth proportional to 416.88, 575.08 and 251 is: 346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.88 : 575.08 = 251 : x
  2. Step 2: Convert to fraction form
    416.88/575.08 = 251/x
  3. Step 3: Cross multiply
    416.88x = 575.08 × 251
  4. Step 4: Simplify right side
    416.88x = 144,345.08
  5. Step 5: Solve for x
    x = 144,345.08/416.88
  6. Step 6: Final answer
    x = 346.25

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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.