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Finding the Fourth Proportional to 511.34, 706.30 and 444.83

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Solution

The fourth proportional to 511.34, 706.30 and 444.83 is: 614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.34 : 706.30 = 444.83 : x
  2. Step 2: Convert to fraction form
    511.34/706.30 = 444.83/x
  3. Step 3: Cross multiply
    511.34x = 706.30 × 444.83
  4. Step 4: Simplify right side
    511.34x = 314,178.79
  5. Step 5: Solve for x
    x = 314,178.79/511.34
  6. Step 6: Final answer
    x = 614.43

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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.