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Finding the Fourth Proportional to 431.56, 595.46 and 291.94

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Solution

The fourth proportional to 431.56, 595.46 and 291.94 is: 402.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.56 : 595.46 = 291.94 : x
  2. Step 2: Convert to fraction form
    431.56/595.46 = 291.94/x
  3. Step 3: Cross multiply
    431.56x = 595.46 × 291.94
  4. Step 4: Simplify right side
    431.56x = 173,838.59
  5. Step 5: Solve for x
    x = 173,838.59/431.56
  6. Step 6: Final answer
    x = 402.81

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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.