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Finding the Fourth Proportional to 651.62, 976.22 and 466.14

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Solution

The fourth proportional to 651.62, 976.22 and 466.14 is: 698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.62 : 976.22 = 466.14 : x
  2. Step 2: Convert to fraction form
    651.62/976.22 = 466.14/x
  3. Step 3: Cross multiply
    651.62x = 976.22 × 466.14
  4. Step 4: Simplify right side
    651.62x = 455,055.19
  5. Step 5: Solve for x
    x = 455,055.19/651.62
  6. Step 6: Final answer
    x = 698.34

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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.