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Finding the Fourth Proportional to 416.93, 575.25 and 259.50

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Solution

The fourth proportional to 416.93, 575.25 and 259.50 is: 358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.93 : 575.25 = 259.50 : x
  2. Step 2: Convert to fraction form
    416.93/575.25 = 259.50/x
  3. Step 3: Cross multiply
    416.93x = 575.25 × 259.50
  4. Step 4: Simplify right side
    416.93x = 149,277.38
  5. Step 5: Solve for x
    x = 149,277.38/416.93
  6. Step 6: Final answer
    x = 358.04

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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.