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Finding the Fourth Proportional to 417.10, 575.43 and 259.62

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Solution

The fourth proportional to 417.10, 575.43 and 259.62 is: 358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.10 : 575.43 = 259.62 : x
  2. Step 2: Convert to fraction form
    417.10/575.43 = 259.62/x
  3. Step 3: Cross multiply
    417.10x = 575.43 × 259.62
  4. Step 4: Simplify right side
    417.10x = 149,393.14
  5. Step 5: Solve for x
    x = 149,393.14/417.10
  6. Step 6: Final answer
    x = 358.17

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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.