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Finding the Fourth Proportional to 459.11, 634.95 and 409.91

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Solution

The fourth proportional to 459.11, 634.95 and 409.91 is: 566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.11 : 634.95 = 409.91 : x
  2. Step 2: Convert to fraction form
    459.11/634.95 = 409.91/x
  3. Step 3: Cross multiply
    459.11x = 634.95 × 409.91
  4. Step 4: Simplify right side
    459.11x = 260,269.18
  5. Step 5: Solve for x
    x = 260,269.18/459.11
  6. Step 6: Final answer
    x = 566.91

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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.