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Finding the Fourth Proportional to 512.81, 707.67 and 288.74

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Solution

The fourth proportional to 512.81, 707.67 and 288.74 is: 398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.81 : 707.67 = 288.74 : x
  2. Step 2: Convert to fraction form
    512.81/707.67 = 288.74/x
  3. Step 3: Cross multiply
    512.81x = 707.67 × 288.74
  4. Step 4: Simplify right side
    512.81x = 204,332.64
  5. Step 5: Solve for x
    x = 204,332.64/512.81
  6. Step 6: Final answer
    x = 398.46

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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.