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Finding the Fourth Proportional to 651.49, 977.21 and 304.62

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Solution

The fourth proportional to 651.49, 977.21 and 304.62 is: 456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.49 : 977.21 = 304.62 : x
  2. Step 2: Convert to fraction form
    651.49/977.21 = 304.62/x
  3. Step 3: Cross multiply
    651.49x = 977.21 × 304.62
  4. Step 4: Simplify right side
    651.49x = 297,672.82
  5. Step 5: Solve for x
    x = 297,672.82/651.49
  6. Step 6: Final answer
    x = 456.91

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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.