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Finding the Fourth Proportional to 431.81, 596.11 and 292.66

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Solution

The fourth proportional to 431.81, 596.11 and 292.66 is: 404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.81 : 596.11 = 292.66 : x
  2. Step 2: Convert to fraction form
    431.81/596.11 = 292.66/x
  3. Step 3: Cross multiply
    431.81x = 596.11 × 292.66
  4. Step 4: Simplify right side
    431.81x = 174,457.55
  5. Step 5: Solve for x
    x = 174,457.55/431.81
  6. Step 6: Final answer
    x = 404.01

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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.