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Finding the Fourth Proportional to 431.12, 595.56 and 409.52

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Solution

The fourth proportional to 431.12, 595.56 and 409.52 is: 565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.12 : 595.56 = 409.52 : x
  2. Step 2: Convert to fraction form
    431.12/595.56 = 409.52/x
  3. Step 3: Cross multiply
    431.12x = 595.56 × 409.52
  4. Step 4: Simplify right side
    431.12x = 243,893.73
  5. Step 5: Solve for x
    x = 243,893.73/431.12
  6. Step 6: Final answer
    x = 565.72

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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.