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Finding the Fourth Proportional to 665.76, 920.46 and 500.82

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Solution

The fourth proportional to 665.76, 920.46 and 500.82 is: 692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.76 : 920.46 = 500.82 : x
  2. Step 2: Convert to fraction form
    665.76/920.46 = 500.82/x
  3. Step 3: Cross multiply
    665.76x = 920.46 × 500.82
  4. Step 4: Simplify right side
    665.76x = 460,984.78
  5. Step 5: Solve for x
    x = 460,984.78/665.76
  6. Step 6: Final answer
    x = 692.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.