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Finding the Fourth Proportional to 424.49, 585.23 and 277.07

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Solution

The fourth proportional to 424.49, 585.23 and 277.07 is: 381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.49 : 585.23 = 277.07 : x
  2. Step 2: Convert to fraction form
    424.49/585.23 = 277.07/x
  3. Step 3: Cross multiply
    424.49x = 585.23 × 277.07
  4. Step 4: Simplify right side
    424.49x = 162,145.36
  5. Step 5: Solve for x
    x = 162,145.36/424.49
  6. Step 6: Final answer
    x = 381.98

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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.