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Finding the Fourth Proportional to 424.82, 585.84 and 300.26

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Solution

The fourth proportional to 424.82, 585.84 and 300.26 is: 414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.82 : 585.84 = 300.26 : x
  2. Step 2: Convert to fraction form
    424.82/585.84 = 300.26/x
  3. Step 3: Cross multiply
    424.82x = 585.84 × 300.26
  4. Step 4: Simplify right side
    424.82x = 175,904.32
  5. Step 5: Solve for x
    x = 175,904.32/424.82
  6. Step 6: Final answer
    x = 414.07

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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.