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Finding the Fourth Proportional to 651.39, 976.77 and 377.64

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Solution

The fourth proportional to 651.39, 976.77 and 377.64 is: 566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.39 : 976.77 = 377.64 : x
  2. Step 2: Convert to fraction form
    651.39/976.77 = 377.64/x
  3. Step 3: Cross multiply
    651.39x = 976.77 × 377.64
  4. Step 4: Simplify right side
    651.39x = 368,867.42
  5. Step 5: Solve for x
    x = 368,867.42/651.39
  6. Step 6: Final answer
    x = 566.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.