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Finding the Fourth Proportional to 431.85, 595.95 and 254.91

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Solution

The fourth proportional to 431.85, 595.95 and 254.91 is: 351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.85 : 595.95 = 254.91 : x
  2. Step 2: Convert to fraction form
    431.85/595.95 = 254.91/x
  3. Step 3: Cross multiply
    431.85x = 595.95 × 254.91
  4. Step 4: Simplify right side
    431.85x = 151,913.61
  5. Step 5: Solve for x
    x = 151,913.61/431.85
  6. Step 6: Final answer
    x = 351.77

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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.