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Finding the Fourth Proportional to 651.24, 976.04 and 304.08

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Solution

The fourth proportional to 651.24, 976.04 and 304.08 is: 455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.24 : 976.04 = 304.08 : x
  2. Step 2: Convert to fraction form
    651.24/976.04 = 304.08/x
  3. Step 3: Cross multiply
    651.24x = 976.04 × 304.08
  4. Step 4: Simplify right side
    651.24x = 296,794.24
  5. Step 5: Solve for x
    x = 296,794.24/651.24
  6. Step 6: Final answer
    x = 455.74

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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.