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Finding the Fourth Proportional to 339.48, 508.13 and 287.03

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Solution

The fourth proportional to 339.48, 508.13 and 287.03 is: 429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.48 : 508.13 = 287.03 : x
  2. Step 2: Convert to fraction form
    339.48/508.13 = 287.03/x
  3. Step 3: Cross multiply
    339.48x = 508.13 × 287.03
  4. Step 4: Simplify right side
    339.48x = 145,848.55
  5. Step 5: Solve for x
    x = 145,848.55/339.48
  6. Step 6: Final answer
    x = 429.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.