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Finding the Fourth Proportional to 417.18, 575.52 and 259.80

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Solution

The fourth proportional to 417.18, 575.52 and 259.80 is: 358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.18 : 575.52 = 259.80 : x
  2. Step 2: Convert to fraction form
    417.18/575.52 = 259.80/x
  3. Step 3: Cross multiply
    417.18x = 575.52 × 259.80
  4. Step 4: Simplify right side
    417.18x = 149,520.10
  5. Step 5: Solve for x
    x = 149,520.10/417.18
  6. Step 6: Final answer
    x = 358.41

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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.