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Finding the Fourth Proportional to 651.84, 977.16 and 240.66

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Solution

The fourth proportional to 651.84, 977.16 and 240.66 is: 360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.84 : 977.16 = 240.66 : x
  2. Step 2: Convert to fraction form
    651.84/977.16 = 240.66/x
  3. Step 3: Cross multiply
    651.84x = 977.16 × 240.66
  4. Step 4: Simplify right side
    651.84x = 235,163.33
  5. Step 5: Solve for x
    x = 235,163.33/651.84
  6. Step 6: Final answer
    x = 360.77

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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.