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Finding the Fourth Proportional to 651.68, 976.69 and 469.43

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Solution

The fourth proportional to 651.68, 976.69 and 469.43 is: 703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.68 : 976.69 = 469.43 : x
  2. Step 2: Convert to fraction form
    651.68/976.69 = 469.43/x
  3. Step 3: Cross multiply
    651.68x = 976.69 × 469.43
  4. Step 4: Simplify right side
    651.68x = 458,480.36
  5. Step 5: Solve for x
    x = 458,480.36/651.68
  6. Step 6: Final answer
    x = 703.54

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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.