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Finding the Fourth Proportional to 429.94, 593.37 and 313.78

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Solution

The fourth proportional to 429.94, 593.37 and 313.78 is: 433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.94 : 593.37 = 313.78 : x
  2. Step 2: Convert to fraction form
    429.94/593.37 = 313.78/x
  3. Step 3: Cross multiply
    429.94x = 593.37 × 313.78
  4. Step 4: Simplify right side
    429.94x = 186,187.64
  5. Step 5: Solve for x
    x = 186,187.64/429.94
  6. Step 6: Final answer
    x = 433.05

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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.