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Finding the Fourth Proportional to 431.62, 595.53 and 263.57

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Solution

The fourth proportional to 431.62, 595.53 and 263.57 is: 363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.62 : 595.53 = 263.57 : x
  2. Step 2: Convert to fraction form
    431.62/595.53 = 263.57/x
  3. Step 3: Cross multiply
    431.62x = 595.53 × 263.57
  4. Step 4: Simplify right side
    431.62x = 156,963.84
  5. Step 5: Solve for x
    x = 156,963.84/431.62
  6. Step 6: Final answer
    x = 363.66

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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.