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Finding the Fourth Proportional to 423.98, 585.11 and 277.01

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Solution

The fourth proportional to 423.98, 585.11 and 277.01 is: 382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.98 : 585.11 = 277.01 : x
  2. Step 2: Convert to fraction form
    423.98/585.11 = 277.01/x
  3. Step 3: Cross multiply
    423.98x = 585.11 × 277.01
  4. Step 4: Simplify right side
    423.98x = 162,079.09
  5. Step 5: Solve for x
    x = 162,079.09/423.98
  6. Step 6: Final answer
    x = 382.28

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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.