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Finding the Fourth Proportional to 697.17, 961.80 and 417.33

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Solution

The fourth proportional to 697.17, 961.80 and 417.33 is: 575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.17 : 961.80 = 417.33 : x
  2. Step 2: Convert to fraction form
    697.17/961.80 = 417.33/x
  3. Step 3: Cross multiply
    697.17x = 961.80 × 417.33
  4. Step 4: Simplify right side
    697.17x = 401,387.99
  5. Step 5: Solve for x
    x = 401,387.99/697.17
  6. Step 6: Final answer
    x = 575.74

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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.