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Finding the Fourth Proportional to 507.32, 760.45 and 233.61

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Solution

The fourth proportional to 507.32, 760.45 and 233.61 is: 350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.32 : 760.45 = 233.61 : x
  2. Step 2: Convert to fraction form
    507.32/760.45 = 233.61/x
  3. Step 3: Cross multiply
    507.32x = 760.45 × 233.61
  4. Step 4: Simplify right side
    507.32x = 177,648.72
  5. Step 5: Solve for x
    x = 177,648.72/507.32
  6. Step 6: Final answer
    x = 350.17

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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.