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Finding the Fourth Proportional to 417.22, 575.78 and 259.81

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Solution

The fourth proportional to 417.22, 575.78 and 259.81 is: 358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.22 : 575.78 = 259.81 : x
  2. Step 2: Convert to fraction form
    417.22/575.78 = 259.81/x
  3. Step 3: Cross multiply
    417.22x = 575.78 × 259.81
  4. Step 4: Simplify right side
    417.22x = 149,590.66
  5. Step 5: Solve for x
    x = 149,590.66/417.22
  6. Step 6: Final answer
    x = 358.54

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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.