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Finding the Fourth Proportional to 517.66, 714.63 and 444.36

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Solution

The fourth proportional to 517.66, 714.63 and 444.36 is: 613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.66 : 714.63 = 444.36 : x
  2. Step 2: Convert to fraction form
    517.66/714.63 = 444.36/x
  3. Step 3: Cross multiply
    517.66x = 714.63 × 444.36
  4. Step 4: Simplify right side
    517.66x = 317,552.99
  5. Step 5: Solve for x
    x = 317,552.99/517.66
  6. Step 6: Final answer
    x = 613.44

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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.