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Finding the Fourth Proportional to 652.29, 978.04 and 286.67

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Solution

The fourth proportional to 652.29, 978.04 and 286.67 is: 429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.29 : 978.04 = 286.67 : x
  2. Step 2: Convert to fraction form
    652.29/978.04 = 286.67/x
  3. Step 3: Cross multiply
    652.29x = 978.04 × 286.67
  4. Step 4: Simplify right side
    652.29x = 280,374.73
  5. Step 5: Solve for x
    x = 280,374.73/652.29
  6. Step 6: Final answer
    x = 429.83

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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.