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Finding the Fourth Proportional to 651.36, 977.54 and 377.68

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Solution

The fourth proportional to 651.36, 977.54 and 377.68 is: 566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.36 : 977.54 = 377.68 : x
  2. Step 2: Convert to fraction form
    651.36/977.54 = 377.68/x
  3. Step 3: Cross multiply
    651.36x = 977.54 × 377.68
  4. Step 4: Simplify right side
    651.36x = 369,197.31
  5. Step 5: Solve for x
    x = 369,197.31/651.36
  6. Step 6: Final answer
    x = 566.81

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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.