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Finding the Fourth Proportional to 500.22, 754.08 and 466.77

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Solution

The fourth proportional to 500.22, 754.08 and 466.77 is: 703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.22 : 754.08 = 466.77 : x
  2. Step 2: Convert to fraction form
    500.22/754.08 = 466.77/x
  3. Step 3: Cross multiply
    500.22x = 754.08 × 466.77
  4. Step 4: Simplify right side
    500.22x = 351,981.92
  5. Step 5: Solve for x
    x = 351,981.92/500.22
  6. Step 6: Final answer
    x = 703.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.