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Finding the Fourth Proportional to 614.86, 848.64 and 418.43

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Solution

The fourth proportional to 614.86, 848.64 and 418.43 is: 577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.86 : 848.64 = 418.43 : x
  2. Step 2: Convert to fraction form
    614.86/848.64 = 418.43/x
  3. Step 3: Cross multiply
    614.86x = 848.64 × 418.43
  4. Step 4: Simplify right side
    614.86x = 355,100.13
  5. Step 5: Solve for x
    x = 355,100.13/614.86
  6. Step 6: Final answer
    x = 577.53

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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.