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Finding the Fourth Proportional to 425.95, 588 and 286.16

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Solution

The fourth proportional to 425.95, 588 and 286.16 is: 395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.95 : 588 = 286.16 : x
  2. Step 2: Convert to fraction form
    425.95/588 = 286.16/x
  3. Step 3: Cross multiply
    425.95x = 588 × 286.16
  4. Step 4: Simplify right side
    425.95x = 168,262.08
  5. Step 5: Solve for x
    x = 168,262.08/425.95
  6. Step 6: Final answer
    x = 395.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.