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Finding the Fourth Proportional to 429.41, 592.13 and 312.77

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Solution

The fourth proportional to 429.41, 592.13 and 312.77 is: 431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.41 : 592.13 = 312.77 : x
  2. Step 2: Convert to fraction form
    429.41/592.13 = 312.77/x
  3. Step 3: Cross multiply
    429.41x = 592.13 × 312.77
  4. Step 4: Simplify right side
    429.41x = 185,198.94
  5. Step 5: Solve for x
    x = 185,198.94/429.41
  6. Step 6: Final answer
    x = 431.29

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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.