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Finding the Fourth Proportional to 696.34, 960.96 and 497.22

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Solution

The fourth proportional to 696.34, 960.96 and 497.22 is: 686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.34 : 960.96 = 497.22 : x
  2. Step 2: Convert to fraction form
    696.34/960.96 = 497.22/x
  3. Step 3: Cross multiply
    696.34x = 960.96 × 497.22
  4. Step 4: Simplify right side
    696.34x = 477,808.53
  5. Step 5: Solve for x
    x = 477,808.53/696.34
  6. Step 6: Final answer
    x = 686.17

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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.