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Finding the Fourth Proportional to 424.99, 585.93 and 300.52

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Solution

The fourth proportional to 424.99, 585.93 and 300.52 is: 414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.99 : 585.93 = 300.52 : x
  2. Step 2: Convert to fraction form
    424.99/585.93 = 300.52/x
  3. Step 3: Cross multiply
    424.99x = 585.93 × 300.52
  4. Step 4: Simplify right side
    424.99x = 176,083.68
  5. Step 5: Solve for x
    x = 176,083.68/424.99
  6. Step 6: Final answer
    x = 414.32

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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.