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Finding the Fourth Proportional to 651.32, 976.75 and 218.38

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Solution

The fourth proportional to 651.32, 976.75 and 218.38 is: 327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.32 : 976.75 = 218.38 : x
  2. Step 2: Convert to fraction form
    651.32/976.75 = 218.38/x
  3. Step 3: Cross multiply
    651.32x = 976.75 × 218.38
  4. Step 4: Simplify right side
    651.32x = 213,302.67
  5. Step 5: Solve for x
    x = 213,302.67/651.32
  6. Step 6: Final answer
    x = 327.49

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1.5x scale

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.