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Finding the Fourth Proportional to 517.77, 713.76 and 424.36

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Solution

The fourth proportional to 517.77, 713.76 and 424.36 is: 584.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.77 : 713.76 = 424.36 : x
  2. Step 2: Convert to fraction form
    517.77/713.76 = 424.36/x
  3. Step 3: Cross multiply
    517.77x = 713.76 × 424.36
  4. Step 4: Simplify right side
    517.77x = 302,891.19
  5. Step 5: Solve for x
    x = 302,891.19/517.77
  6. Step 6: Final answer
    x = 584.99

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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.