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Finding the Fourth Proportional to 696.89, 961.64 and 417.07

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Solution

The fourth proportional to 696.89, 961.64 and 417.07 is: 575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.89 : 961.64 = 417.07 : x
  2. Step 2: Convert to fraction form
    696.89/961.64 = 417.07/x
  3. Step 3: Cross multiply
    696.89x = 961.64 × 417.07
  4. Step 4: Simplify right side
    696.89x = 401,066.71
  5. Step 5: Solve for x
    x = 401,066.71/696.89
  6. Step 6: Final answer
    x = 575.51

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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.