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Finding the Fourth Proportional to 429.95, 593.32 and 233.46

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Solution

The fourth proportional to 429.95, 593.32 and 233.46 is: 322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.95 : 593.32 = 233.46 : x
  2. Step 2: Convert to fraction form
    429.95/593.32 = 233.46/x
  3. Step 3: Cross multiply
    429.95x = 593.32 × 233.46
  4. Step 4: Simplify right side
    429.95x = 138,516.49
  5. Step 5: Solve for x
    x = 138,516.49/429.95
  6. Step 6: Final answer
    x = 322.17

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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.