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Finding the Fourth Proportional to 393.57, 588.30 and 277.23

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Solution

The fourth proportional to 393.57, 588.30 and 277.23 is: 414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.57 : 588.30 = 277.23 : x
  2. Step 2: Convert to fraction form
    393.57/588.30 = 277.23/x
  3. Step 3: Cross multiply
    393.57x = 588.30 × 277.23
  4. Step 4: Simplify right side
    393.57x = 163,095.58
  5. Step 5: Solve for x
    x = 163,095.58/393.57
  6. Step 6: Final answer
    x = 414.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.