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Finding the Fourth Proportional to 393.57, 586.91 and 345.04

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Solution

The fourth proportional to 393.57, 586.91 and 345.04 is: 514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.57 : 586.91 = 345.04 : x
  2. Step 2: Convert to fraction form
    393.57/586.91 = 345.04/x
  3. Step 3: Cross multiply
    393.57x = 586.91 × 345.04
  4. Step 4: Simplify right side
    393.57x = 202,507.43
  5. Step 5: Solve for x
    x = 202,507.43/393.57
  6. Step 6: Final answer
    x = 514.55

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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.