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Finding the Fourth Proportional to 429.40, 592.62 and 242.96

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Solution

The fourth proportional to 429.40, 592.62 and 242.96 is: 335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.40 : 592.62 = 242.96 : x
  2. Step 2: Convert to fraction form
    429.40/592.62 = 242.96/x
  3. Step 3: Cross multiply
    429.40x = 592.62 × 242.96
  4. Step 4: Simplify right side
    429.40x = 143,982.96
  5. Step 5: Solve for x
    x = 143,982.96/429.40
  6. Step 6: Final answer
    x = 335.32

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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.