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Finding the Fourth Proportional to 665.46, 918.08 and 514.09

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Solution

The fourth proportional to 665.46, 918.08 and 514.09 is: 709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.46 : 918.08 = 514.09 : x
  2. Step 2: Convert to fraction form
    665.46/918.08 = 514.09/x
  3. Step 3: Cross multiply
    665.46x = 918.08 × 514.09
  4. Step 4: Simplify right side
    665.46x = 471,975.75
  5. Step 5: Solve for x
    x = 471,975.75/665.46
  6. Step 6: Final answer
    x = 709.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.