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Finding the Fourth Proportional to 701.99, 968.68 and 407.28

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Solution

The fourth proportional to 701.99, 968.68 and 407.28 is: 562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.99 : 968.68 = 407.28 : x
  2. Step 2: Convert to fraction form
    701.99/968.68 = 407.28/x
  3. Step 3: Cross multiply
    701.99x = 968.68 × 407.28
  4. Step 4: Simplify right side
    701.99x = 394,523.99
  5. Step 5: Solve for x
    x = 394,523.99/701.99
  6. Step 6: Final answer
    x = 562.01

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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.