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Finding the Fourth Proportional to 423.83, 584.62 and 292.82

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Solution

The fourth proportional to 423.83, 584.62 and 292.82 is: 403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.83 : 584.62 = 292.82 : x
  2. Step 2: Convert to fraction form
    423.83/584.62 = 292.82/x
  3. Step 3: Cross multiply
    423.83x = 584.62 × 292.82
  4. Step 4: Simplify right side
    423.83x = 171,184.77
  5. Step 5: Solve for x
    x = 171,184.77/423.83
  6. Step 6: Final answer
    x = 403.90

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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.