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Finding the Fourth Proportional to 563.82, 846 and 286.50

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Solution

The fourth proportional to 563.82, 846 and 286.50 is: 429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.82 : 846 = 286.50 : x
  2. Step 2: Convert to fraction form
    563.82/846 = 286.50/x
  3. Step 3: Cross multiply
    563.82x = 846 × 286.50
  4. Step 4: Simplify right side
    563.82x = 242,379
  5. Step 5: Solve for x
    x = 242,379/563.82
  6. Step 6: Final answer
    x = 429.89

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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.