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Finding the Fourth Proportional to 614.39, 848.20 and 474.20

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Solution

The fourth proportional to 614.39, 848.20 and 474.20 is: 654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.39 : 848.20 = 474.20 : x
  2. Step 2: Convert to fraction form
    614.39/848.20 = 474.20/x
  3. Step 3: Cross multiply
    614.39x = 848.20 × 474.20
  4. Step 4: Simplify right side
    614.39x = 402,216.44
  5. Step 5: Solve for x
    x = 402,216.44/614.39
  6. Step 6: Final answer
    x = 654.66

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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.