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Finding the Fourth Proportional to 517.48, 714 and 352.24

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Solution

The fourth proportional to 517.48, 714 and 352.24 is: 486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.48 : 714 = 352.24 : x
  2. Step 2: Convert to fraction form
    517.48/714 = 352.24/x
  3. Step 3: Cross multiply
    517.48x = 714 × 352.24
  4. Step 4: Simplify right side
    517.48x = 251,499.36
  5. Step 5: Solve for x
    x = 251,499.36/517.48
  6. Step 6: Final answer
    x = 486.01

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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.