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Finding the Fourth Proportional to 700.98, 967.37 and 402.22

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Solution

The fourth proportional to 700.98, 967.37 and 402.22 is: 555.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.98 : 967.37 = 402.22 : x
  2. Step 2: Convert to fraction form
    700.98/967.37 = 402.22/x
  3. Step 3: Cross multiply
    700.98x = 967.37 × 402.22
  4. Step 4: Simplify right side
    700.98x = 389,095.56
  5. Step 5: Solve for x
    x = 389,095.56/700.98
  6. Step 6: Final answer
    x = 555.07

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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.