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Finding the Fourth Proportional to 652.24, 977.50 and 286.63

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Solution

The fourth proportional to 652.24, 977.50 and 286.63 is: 429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.24 : 977.50 = 286.63 : x
  2. Step 2: Convert to fraction form
    652.24/977.50 = 286.63/x
  3. Step 3: Cross multiply
    652.24x = 977.50 × 286.63
  4. Step 4: Simplify right side
    652.24x = 280,180.83
  5. Step 5: Solve for x
    x = 280,180.83/652.24
  6. Step 6: Final answer
    x = 429.57

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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.