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Finding the Fourth Proportional to 651.98, 977.83 and 305.34

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Solution

The fourth proportional to 651.98, 977.83 and 305.34 is: 457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.98 : 977.83 = 305.34 : x
  2. Step 2: Convert to fraction form
    651.98/977.83 = 305.34/x
  3. Step 3: Cross multiply
    651.98x = 977.83 × 305.34
  4. Step 4: Simplify right side
    651.98x = 298,569.85
  5. Step 5: Solve for x
    x = 298,569.85/651.98
  6. Step 6: Final answer
    x = 457.95

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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.