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Finding the Fourth Proportional to 600.15, 827.93 and 434.10

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Solution

The fourth proportional to 600.15, 827.93 and 434.10 is: 598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.15 : 827.93 = 434.10 : x
  2. Step 2: Convert to fraction form
    600.15/827.93 = 434.10/x
  3. Step 3: Cross multiply
    600.15x = 827.93 × 434.10
  4. Step 4: Simplify right side
    600.15x = 359,398.10
  5. Step 5: Solve for x
    x = 359,398.10/600.15
  6. Step 6: Final answer
    x = 598.85

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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.