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Finding the Fourth Proportional to 429.08, 592.10 and 242.58

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Solution

The fourth proportional to 429.08, 592.10 and 242.58 is: 334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.08 : 592.10 = 242.58 : x
  2. Step 2: Convert to fraction form
    429.08/592.10 = 242.58/x
  3. Step 3: Cross multiply
    429.08x = 592.10 × 242.58
  4. Step 4: Simplify right side
    429.08x = 143,631.62
  5. Step 5: Solve for x
    x = 143,631.62/429.08
  6. Step 6: Final answer
    x = 334.74

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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.