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Finding the Fourth Proportional to 429.14, 592.26 and 242.64

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Solution

The fourth proportional to 429.14, 592.26 and 242.64 is: 334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.14 : 592.26 = 242.64 : x
  2. Step 2: Convert to fraction form
    429.14/592.26 = 242.64/x
  3. Step 3: Cross multiply
    429.14x = 592.26 × 242.64
  4. Step 4: Simplify right side
    429.14x = 143,703.01
  5. Step 5: Solve for x
    x = 143,703.01/429.14
  6. Step 6: Final answer
    x = 334.87

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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.