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Finding the Fourth Proportional to 621.08, 857.36 and 434.84

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Solution

The fourth proportional to 621.08, 857.36 and 434.84 is: 600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.08 : 857.36 = 434.84 : x
  2. Step 2: Convert to fraction form
    621.08/857.36 = 434.84/x
  3. Step 3: Cross multiply
    621.08x = 857.36 × 434.84
  4. Step 4: Simplify right side
    621.08x = 372,814.42
  5. Step 5: Solve for x
    x = 372,814.42/621.08
  6. Step 6: Final answer
    x = 600.27

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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.