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Finding the Fourth Proportional to 417.36, 575.84 and 259.74

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Solution

The fourth proportional to 417.36, 575.84 and 259.74 is: 358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.36 : 575.84 = 259.74 : x
  2. Step 2: Convert to fraction form
    417.36/575.84 = 259.74/x
  3. Step 3: Cross multiply
    417.36x = 575.84 × 259.74
  4. Step 4: Simplify right side
    417.36x = 149,567.38
  5. Step 5: Solve for x
    x = 149,567.38/417.36
  6. Step 6: Final answer
    x = 358.37

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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.