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Finding the Fourth Proportional to 651.78, 976.96 and 304.60

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Solution

The fourth proportional to 651.78, 976.96 and 304.60 is: 456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.78 : 976.96 = 304.60 : x
  2. Step 2: Convert to fraction form
    651.78/976.96 = 304.60/x
  3. Step 3: Cross multiply
    651.78x = 976.96 × 304.60
  4. Step 4: Simplify right side
    651.78x = 297,582.02
  5. Step 5: Solve for x
    x = 297,582.02/651.78
  6. Step 6: Final answer
    x = 456.57

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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.