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Finding the Fourth Proportional to 429.09, 592.10 and 242.60

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Solution

The fourth proportional to 429.09, 592.10 and 242.60 is: 334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.09 : 592.10 = 242.60 : x
  2. Step 2: Convert to fraction form
    429.09/592.10 = 242.60/x
  3. Step 3: Cross multiply
    429.09x = 592.10 × 242.60
  4. Step 4: Simplify right side
    429.09x = 143,639.29
  5. Step 5: Solve for x
    x = 143,639.29/429.09
  6. Step 6: Final answer
    x = 334.75

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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.