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Finding the Fourth Proportional to 696.85, 961.65 and 386.35

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Solution

The fourth proportional to 696.85, 961.65 and 386.35 is: 533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.85 : 961.65 = 386.35 : x
  2. Step 2: Convert to fraction form
    696.85/961.65 = 386.35/x
  3. Step 3: Cross multiply
    696.85x = 961.65 × 386.35
  4. Step 4: Simplify right side
    696.85x = 371,527.70
  5. Step 5: Solve for x
    x = 371,527.70/696.85
  6. Step 6: Final answer
    x = 533.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.