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Finding the Fourth Proportional to 431.74, 596.02 and 292.59

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Solution

The fourth proportional to 431.74, 596.02 and 292.59 is: 403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.74 : 596.02 = 292.59 : x
  2. Step 2: Convert to fraction form
    431.74/596.02 = 292.59/x
  3. Step 3: Cross multiply
    431.74x = 596.02 × 292.59
  4. Step 4: Simplify right side
    431.74x = 174,388.76
  5. Step 5: Solve for x
    x = 174,388.76/431.74
  6. Step 6: Final answer
    x = 403.92

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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.