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Finding the Fourth Proportional to 651.47, 977.27 and 408.24

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Solution

The fourth proportional to 651.47, 977.27 and 408.24 is: 612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.47 : 977.27 = 408.24 : x
  2. Step 2: Convert to fraction form
    651.47/977.27 = 408.24/x
  3. Step 3: Cross multiply
    651.47x = 977.27 × 408.24
  4. Step 4: Simplify right side
    651.47x = 398,958.66
  5. Step 5: Solve for x
    x = 398,958.66/651.47
  6. Step 6: Final answer
    x = 612.40

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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.