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Finding the Fourth Proportional to 651.38, 977.40 and 286.07

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Solution

The fourth proportional to 651.38, 977.40 and 286.07 is: 429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.38 : 977.40 = 286.07 : x
  2. Step 2: Convert to fraction form
    651.38/977.40 = 286.07/x
  3. Step 3: Cross multiply
    651.38x = 977.40 × 286.07
  4. Step 4: Simplify right side
    651.38x = 279,604.82
  5. Step 5: Solve for x
    x = 279,604.82/651.38
  6. Step 6: Final answer
    x = 429.25

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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.