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Finding the Fourth Proportional to 423.85, 584.68 and 298.01

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Solution

The fourth proportional to 423.85, 584.68 and 298.01 is: 411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.85 : 584.68 = 298.01 : x
  2. Step 2: Convert to fraction form
    423.85/584.68 = 298.01/x
  3. Step 3: Cross multiply
    423.85x = 584.68 × 298.01
  4. Step 4: Simplify right side
    423.85x = 174,238.47
  5. Step 5: Solve for x
    x = 174,238.47/423.85
  6. Step 6: Final answer
    x = 411.08

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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.