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Finding the Fourth Proportional to 517.19, 714.08 and 369.87

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Solution

The fourth proportional to 517.19, 714.08 and 369.87 is: 510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.19 : 714.08 = 369.87 : x
  2. Step 2: Convert to fraction form
    517.19/714.08 = 369.87/x
  3. Step 3: Cross multiply
    517.19x = 714.08 × 369.87
  4. Step 4: Simplify right side
    517.19x = 264,115.02
  5. Step 5: Solve for x
    x = 264,115.02/517.19
  6. Step 6: Final answer
    x = 510.68

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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.