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Finding the Fourth Proportional to 650.51, 976.29 and 342.55

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Solution

The fourth proportional to 650.51, 976.29 and 342.55 is: 514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.51 : 976.29 = 342.55 : x
  2. Step 2: Convert to fraction form
    650.51/976.29 = 342.55/x
  3. Step 3: Cross multiply
    650.51x = 976.29 × 342.55
  4. Step 4: Simplify right side
    650.51x = 334,425.70
  5. Step 5: Solve for x
    x = 334,425.70/650.51
  6. Step 6: Final answer
    x = 514.10

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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.