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Finding the Fourth Proportional to 701.16, 967.32 and 406.24

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Solution

The fourth proportional to 701.16, 967.32 and 406.24 is: 560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.16 : 967.32 = 406.24 : x
  2. Step 2: Convert to fraction form
    701.16/967.32 = 406.24/x
  3. Step 3: Cross multiply
    701.16x = 967.32 × 406.24
  4. Step 4: Simplify right side
    701.16x = 392,964.08
  5. Step 5: Solve for x
    x = 392,964.08/701.16
  6. Step 6: Final answer
    x = 560.45

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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.