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Finding the Fourth Proportional to 651.08, 975.92 and 304.01

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Solution

The fourth proportional to 651.08, 975.92 and 304.01 is: 455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.08 : 975.92 = 304.01 : x
  2. Step 2: Convert to fraction form
    651.08/975.92 = 304.01/x
  3. Step 3: Cross multiply
    651.08x = 975.92 × 304.01
  4. Step 4: Simplify right side
    651.08x = 296,683.04
  5. Step 5: Solve for x
    x = 296,683.04/651.08
  6. Step 6: Final answer
    x = 455.68

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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.