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Finding the Fourth Proportional to 696.51, 961.03 and 416.70

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Solution

The fourth proportional to 696.51, 961.03 and 416.70 is: 574.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.51 : 961.03 = 416.70 : x
  2. Step 2: Convert to fraction form
    696.51/961.03 = 416.70/x
  3. Step 3: Cross multiply
    696.51x = 961.03 × 416.70
  4. Step 4: Simplify right side
    696.51x = 400,461.20
  5. Step 5: Solve for x
    x = 400,461.20/696.51
  6. Step 6: Final answer
    x = 574.95

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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.