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Finding the Fourth Proportional to 651.71, 977.42 and 262.00

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Solution

The fourth proportional to 651.71, 977.42 and 262.00 is: 392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.71 : 977.42 = 262.00 : x
  2. Step 2: Convert to fraction form
    651.71/977.42 = 262.00/x
  3. Step 3: Cross multiply
    651.71x = 977.42 × 262.00
  4. Step 4: Simplify right side
    651.71x = 256,084.44
  5. Step 5: Solve for x
    x = 256,084.44/651.71
  6. Step 6: Final answer
    x = 392.94

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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.