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Finding the Fourth Proportional to 431.78, 596.40 and 292.16

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Solution

The fourth proportional to 431.78, 596.40 and 292.16 is: 403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.78 : 596.40 = 292.16 : x
  2. Step 2: Convert to fraction form
    431.78/596.40 = 292.16/x
  3. Step 3: Cross multiply
    431.78x = 596.40 × 292.16
  4. Step 4: Simplify right side
    431.78x = 174,244.22
  5. Step 5: Solve for x
    x = 174,244.22/431.78
  6. Step 6: Final answer
    x = 403.55

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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.