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Finding the Fourth Proportional to 517, 713.50 and 296.02

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Solution

The fourth proportional to 517, 713.50 and 296.02 is: 408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517 : 713.50 = 296.02 : x
  2. Step 2: Convert to fraction form
    517/713.50 = 296.02/x
  3. Step 3: Cross multiply
    517x = 713.50 × 296.02
  4. Step 4: Simplify right side
    517x = 211,210.27
  5. Step 5: Solve for x
    x = 211,210.27/517
  6. Step 6: Final answer
    x = 408.53

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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.