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Finding the Fourth Proportional to 423.19, 585.09 and 293.17

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Solution

The fourth proportional to 423.19, 585.09 and 293.17 is: 405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.19 : 585.09 = 293.17 : x
  2. Step 2: Convert to fraction form
    423.19/585.09 = 293.17/x
  3. Step 3: Cross multiply
    423.19x = 585.09 × 293.17
  4. Step 4: Simplify right side
    423.19x = 171,530.84
  5. Step 5: Solve for x
    x = 171,530.84/423.19
  6. Step 6: Final answer
    x = 405.33

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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.