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Finding the Fourth Proportional to 424.47, 585.93 and 365.24

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Solution

The fourth proportional to 424.47, 585.93 and 365.24 is: 504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.47 : 585.93 = 365.24 : x
  2. Step 2: Convert to fraction form
    424.47/585.93 = 365.24/x
  3. Step 3: Cross multiply
    424.47x = 585.93 × 365.24
  4. Step 4: Simplify right side
    424.47x = 214,007.91
  5. Step 5: Solve for x
    x = 214,007.91/424.47
  6. Step 6: Final answer
    x = 504.17

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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.