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Finding the Fourth Proportional to 710.36, 979.96 and 474.24

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Solution

The fourth proportional to 710.36, 979.96 and 474.24 is: 654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.36 : 979.96 = 474.24 : x
  2. Step 2: Convert to fraction form
    710.36/979.96 = 474.24/x
  3. Step 3: Cross multiply
    710.36x = 979.96 × 474.24
  4. Step 4: Simplify right side
    710.36x = 464,736.23
  5. Step 5: Solve for x
    x = 464,736.23/710.36
  6. Step 6: Final answer
    x = 654.23

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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.