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Finding the Fourth Proportional to 700.34, 966.41 and 401.59

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Solution

The fourth proportional to 700.34, 966.41 and 401.59 is: 554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.34 : 966.41 = 401.59 : x
  2. Step 2: Convert to fraction form
    700.34/966.41 = 401.59/x
  3. Step 3: Cross multiply
    700.34x = 966.41 × 401.59
  4. Step 4: Simplify right side
    700.34x = 388,095.76
  5. Step 5: Solve for x
    x = 388,095.76/700.34
  6. Step 6: Final answer
    x = 554.15

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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.