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Finding the Fourth Proportional to 459.71, 635.04 and 418.19

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Solution

The fourth proportional to 459.71, 635.04 and 418.19 is: 577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.71 : 635.04 = 418.19 : x
  2. Step 2: Convert to fraction form
    459.71/635.04 = 418.19/x
  3. Step 3: Cross multiply
    459.71x = 635.04 × 418.19
  4. Step 4: Simplify right side
    459.71x = 265,563.16
  5. Step 5: Solve for x
    x = 265,563.16/459.71
  6. Step 6: Final answer
    x = 577.68

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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.