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Finding the Fourth Proportional to 614.93, 848.00 and 467.30

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Solution

The fourth proportional to 614.93, 848.00 and 467.30 is: 644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.93 : 848.00 = 467.30 : x
  2. Step 2: Convert to fraction form
    614.93/848.00 = 467.30/x
  3. Step 3: Cross multiply
    614.93x = 848.00 × 467.30
  4. Step 4: Simplify right side
    614.93x = 396,273.69
  5. Step 5: Solve for x
    x = 396,273.69/614.93
  6. Step 6: Final answer
    x = 644.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.