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Finding the Fourth Proportional to 429.54, 592.74 and 252.50

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Solution

The fourth proportional to 429.54, 592.74 and 252.50 is: 348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.54 : 592.74 = 252.50 : x
  2. Step 2: Convert to fraction form
    429.54/592.74 = 252.50/x
  3. Step 3: Cross multiply
    429.54x = 592.74 × 252.50
  4. Step 4: Simplify right side
    429.54x = 149,666.85
  5. Step 5: Solve for x
    x = 149,666.85/429.54
  6. Step 6: Final answer
    x = 348.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.