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Finding the Fourth Proportional to 652.04, 977.14 and 286.73

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Solution

The fourth proportional to 652.04, 977.14 and 286.73 is: 429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.04 : 977.14 = 286.73 : x
  2. Step 2: Convert to fraction form
    652.04/977.14 = 286.73/x
  3. Step 3: Cross multiply
    652.04x = 977.14 × 286.73
  4. Step 4: Simplify right side
    652.04x = 280,175.35
  5. Step 5: Solve for x
    x = 280,175.35/652.04
  6. Step 6: Final answer
    x = 429.69

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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.