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Finding the Fourth Proportional to 650.88, 976.59 and 342.66

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Solution

The fourth proportional to 650.88, 976.59 and 342.66 is: 514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.88 : 976.59 = 342.66 : x
  2. Step 2: Convert to fraction form
    650.88/976.59 = 342.66/x
  3. Step 3: Cross multiply
    650.88x = 976.59 × 342.66
  4. Step 4: Simplify right side
    650.88x = 334,636.50
  5. Step 5: Solve for x
    x = 334,636.50/650.88
  6. Step 6: Final answer
    x = 514.13

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Why These Related Problems?

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