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Finding the Fourth Proportional to 701.52, 967.85 and 406.75

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Solution

The fourth proportional to 701.52, 967.85 and 406.75 is: 561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.52 : 967.85 = 406.75 : x
  2. Step 2: Convert to fraction form
    701.52/967.85 = 406.75/x
  3. Step 3: Cross multiply
    701.52x = 967.85 × 406.75
  4. Step 4: Simplify right side
    701.52x = 393,666.11
  5. Step 5: Solve for x
    x = 393,666.11/701.52
  6. Step 6: Final answer
    x = 561.17

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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.