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Finding the Fourth Proportional to 700.94, 967.19 and 406.20

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Solution

The fourth proportional to 700.94, 967.19 and 406.20 is: 560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.94 : 967.19 = 406.20 : x
  2. Step 2: Convert to fraction form
    700.94/967.19 = 406.20/x
  3. Step 3: Cross multiply
    700.94x = 967.19 × 406.20
  4. Step 4: Simplify right side
    700.94x = 392,870.55
  5. Step 5: Solve for x
    x = 392,870.55/700.94
  6. Step 6: Final answer
    x = 560.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.