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Finding the Fourth Proportional to 696.84, 961.54 and 417.08

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Solution

The fourth proportional to 696.84, 961.54 and 417.08 is: 575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.84 : 961.54 = 417.08 : x
  2. Step 2: Convert to fraction form
    696.84/961.54 = 417.08/x
  3. Step 3: Cross multiply
    696.84x = 961.54 × 417.08
  4. Step 4: Simplify right side
    696.84x = 401,040.46
  5. Step 5: Solve for x
    x = 401,040.46/696.84
  6. Step 6: Final answer
    x = 575.52

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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.