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Finding the Fourth Proportional to 651.75, 977.45 and 304.88

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Solution

The fourth proportional to 651.75, 977.45 and 304.88 is: 457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.75 : 977.45 = 304.88 : x
  2. Step 2: Convert to fraction form
    651.75/977.45 = 304.88/x
  3. Step 3: Cross multiply
    651.75x = 977.45 × 304.88
  4. Step 4: Simplify right side
    651.75x = 297,998.54
  5. Step 5: Solve for x
    x = 297,998.54/651.75
  6. Step 6: Final answer
    x = 457.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.