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Finding the Fourth Proportional to 614.75, 848.06 and 362.54

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Solution

The fourth proportional to 614.75, 848.06 and 362.54 is: 500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.75 : 848.06 = 362.54 : x
  2. Step 2: Convert to fraction form
    614.75/848.06 = 362.54/x
  3. Step 3: Cross multiply
    614.75x = 848.06 × 362.54
  4. Step 4: Simplify right side
    614.75x = 307,449.62
  5. Step 5: Solve for x
    x = 307,449.62/614.75
  6. Step 6: Final answer
    x = 500.13

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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.