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Finding the Fourth Proportional to 474.22, 710.97 and 230.23

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Solution

The fourth proportional to 474.22, 710.97 and 230.23 is: 345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.22 : 710.97 = 230.23 : x
  2. Step 2: Convert to fraction form
    474.22/710.97 = 230.23/x
  3. Step 3: Cross multiply
    474.22x = 710.97 × 230.23
  4. Step 4: Simplify right side
    474.22x = 163,686.62
  5. Step 5: Solve for x
    x = 163,686.62/474.22
  6. Step 6: Final answer
    x = 345.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.