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Finding the Fourth Proportional to 651.86, 977.76 and 262.04

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Solution

The fourth proportional to 651.86, 977.76 and 262.04 is: 393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.86 : 977.76 = 262.04 : x
  2. Step 2: Convert to fraction form
    651.86/977.76 = 262.04/x
  3. Step 3: Cross multiply
    651.86x = 977.76 × 262.04
  4. Step 4: Simplify right side
    651.86x = 256,207.34
  5. Step 5: Solve for x
    x = 256,207.34/651.86
  6. Step 6: Final answer
    x = 393.04

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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.