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Finding the Fourth Proportional to 434.63, 598.79 and 411.55

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Solution

The fourth proportional to 434.63, 598.79 and 411.55 is: 566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.63 : 598.79 = 411.55 : x
  2. Step 2: Convert to fraction form
    434.63/598.79 = 411.55/x
  3. Step 3: Cross multiply
    434.63x = 598.79 × 411.55
  4. Step 4: Simplify right side
    434.63x = 246,431.56
  5. Step 5: Solve for x
    x = 246,431.56/434.63
  6. Step 6: Final answer
    x = 566.99

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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.