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Finding the Fourth Proportional to 508.01, 760.95 and 234.34

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Solution

The fourth proportional to 508.01, 760.95 and 234.34 is: 351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.01 : 760.95 = 234.34 : x
  2. Step 2: Convert to fraction form
    508.01/760.95 = 234.34/x
  3. Step 3: Cross multiply
    508.01x = 760.95 × 234.34
  4. Step 4: Simplify right side
    508.01x = 178,321.02
  5. Step 5: Solve for x
    x = 178,321.02/508.01
  6. Step 6: Final answer
    x = 351.02

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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.