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Finding the Fourth Proportional to 696.58, 961.13 and 416.77

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Solution

The fourth proportional to 696.58, 961.13 and 416.77 is: 575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.58 : 961.13 = 416.77 : x
  2. Step 2: Convert to fraction form
    696.58/961.13 = 416.77/x
  3. Step 3: Cross multiply
    696.58x = 961.13 × 416.77
  4. Step 4: Simplify right side
    696.58x = 400,570.15
  5. Step 5: Solve for x
    x = 400,570.15/696.58
  6. Step 6: Final answer
    x = 575.05

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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.