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Finding the Fourth Proportional to 474.12, 657.06 and 467.52

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Solution

The fourth proportional to 474.12, 657.06 and 467.52 is: 647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.12 : 657.06 = 467.52 : x
  2. Step 2: Convert to fraction form
    474.12/657.06 = 467.52/x
  3. Step 3: Cross multiply
    474.12x = 657.06 × 467.52
  4. Step 4: Simplify right side
    474.12x = 307,188.69
  5. Step 5: Solve for x
    x = 307,188.69/474.12
  6. Step 6: Final answer
    x = 647.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.