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Finding the Fourth Proportional to 434.94, 600.21 and 287.68

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Solution

The fourth proportional to 434.94, 600.21 and 287.68 is: 396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.94 : 600.21 = 287.68 : x
  2. Step 2: Convert to fraction form
    434.94/600.21 = 287.68/x
  3. Step 3: Cross multiply
    434.94x = 600.21 × 287.68
  4. Step 4: Simplify right side
    434.94x = 172,666.91
  5. Step 5: Solve for x
    x = 172,666.91/434.94
  6. Step 6: Final answer
    x = 396.99

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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.