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Finding the Fourth Proportional to 429.94, 593.61 and 346.90

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Solution

The fourth proportional to 429.94, 593.61 and 346.90 is: 478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.94 : 593.61 = 346.90 : x
  2. Step 2: Convert to fraction form
    429.94/593.61 = 346.90/x
  3. Step 3: Cross multiply
    429.94x = 593.61 × 346.90
  4. Step 4: Simplify right side
    429.94x = 205,923.31
  5. Step 5: Solve for x
    x = 205,923.31/429.94
  6. Step 6: Final answer
    x = 478.96

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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.