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Finding the Fourth Proportional to 651.64, 976.62 and 267.16

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Solution

The fourth proportional to 651.64, 976.62 and 267.16 is: 400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.64 : 976.62 = 267.16 : x
  2. Step 2: Convert to fraction form
    651.64/976.62 = 267.16/x
  3. Step 3: Cross multiply
    651.64x = 976.62 × 267.16
  4. Step 4: Simplify right side
    651.64x = 260,913.80
  5. Step 5: Solve for x
    x = 260,913.80/651.64
  6. Step 6: Final answer
    x = 400.40

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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.