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Finding the Fourth Proportional to 559.84, 839.88 and 286.08

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Solution

The fourth proportional to 559.84, 839.88 and 286.08 is: 429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.84 : 839.88 = 286.08 : x
  2. Step 2: Convert to fraction form
    559.84/839.88 = 286.08/x
  3. Step 3: Cross multiply
    559.84x = 839.88 × 286.08
  4. Step 4: Simplify right side
    559.84x = 240,272.87
  5. Step 5: Solve for x
    x = 240,272.87/559.84
  6. Step 6: Final answer
    x = 429.18

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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.