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Finding the Fourth Proportional to 700.90, 966.96 and 402.17

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Solution

The fourth proportional to 700.90, 966.96 and 402.17 is: 554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.90 : 966.96 = 402.17 : x
  2. Step 2: Convert to fraction form
    700.90/966.96 = 402.17/x
  3. Step 3: Cross multiply
    700.90x = 966.96 × 402.17
  4. Step 4: Simplify right side
    700.90x = 388,877.47
  5. Step 5: Solve for x
    x = 388,877.47/700.90
  6. Step 6: Final answer
    x = 554.83

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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.