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Finding the Fourth Proportional to 559.17, 838.80 and 285.17

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Solution

The fourth proportional to 559.17, 838.80 and 285.17 is: 427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.17 : 838.80 = 285.17 : x
  2. Step 2: Convert to fraction form
    559.17/838.80 = 285.17/x
  3. Step 3: Cross multiply
    559.17x = 838.80 × 285.17
  4. Step 4: Simplify right side
    559.17x = 239,196.40
  5. Step 5: Solve for x
    x = 239,196.40/559.17
  6. Step 6: Final answer
    x = 427.77

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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.