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Finding the Fourth Proportional to 429.66, 592.56 and 313.20

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Solution

The fourth proportional to 429.66, 592.56 and 313.20 is: 431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.66 : 592.56 = 313.20 : x
  2. Step 2: Convert to fraction form
    429.66/592.56 = 313.20/x
  3. Step 3: Cross multiply
    429.66x = 592.56 × 313.20
  4. Step 4: Simplify right side
    429.66x = 185,589.79
  5. Step 5: Solve for x
    x = 185,589.79/429.66
  6. Step 6: Final answer
    x = 431.95

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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.