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Finding the Fourth Proportional to 429.60, 592.92 and 255.08

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Solution

The fourth proportional to 429.60, 592.92 and 255.08 is: 352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.60 : 592.92 = 255.08 : x
  2. Step 2: Convert to fraction form
    429.60/592.92 = 255.08/x
  3. Step 3: Cross multiply
    429.60x = 592.92 × 255.08
  4. Step 4: Simplify right side
    429.60x = 151,242.03
  5. Step 5: Solve for x
    x = 151,242.03/429.60
  6. Step 6: Final answer
    x = 352.05

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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.