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Finding the Fourth Proportional to 506.58, 761.31 and 342.60

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Solution

The fourth proportional to 506.58, 761.31 and 342.60 is: 514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.58 : 761.31 = 342.60 : x
  2. Step 2: Convert to fraction form
    506.58/761.31 = 342.60/x
  3. Step 3: Cross multiply
    506.58x = 761.31 × 342.60
  4. Step 4: Simplify right side
    506.58x = 260,824.81
  5. Step 5: Solve for x
    x = 260,824.81/506.58
  6. Step 6: Final answer
    x = 514.87

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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.