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Finding the Fourth Proportional to 517.05, 713.61 and 370.17

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Solution

The fourth proportional to 517.05, 713.61 and 370.17 is: 510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.05 : 713.61 = 370.17 : x
  2. Step 2: Convert to fraction form
    517.05/713.61 = 370.17/x
  3. Step 3: Cross multiply
    517.05x = 713.61 × 370.17
  4. Step 4: Simplify right side
    517.05x = 264,157.01
  5. Step 5: Solve for x
    x = 264,157.01/517.05
  6. Step 6: Final answer
    x = 510.89

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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.