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Finding the Fourth Proportional to 425.12, 585.99 and 300.51

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Solution

The fourth proportional to 425.12, 585.99 and 300.51 is: 414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.12 : 585.99 = 300.51 : x
  2. Step 2: Convert to fraction form
    425.12/585.99 = 300.51/x
  3. Step 3: Cross multiply
    425.12x = 585.99 × 300.51
  4. Step 4: Simplify right side
    425.12x = 176,095.85
  5. Step 5: Solve for x
    x = 176,095.85/425.12
  6. Step 6: Final answer
    x = 414.23

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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.