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Finding the Fourth Proportional to 517.42, 714.04 and 284.54

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Solution

The fourth proportional to 517.42, 714.04 and 284.54 is: 392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.42 : 714.04 = 284.54 : x
  2. Step 2: Convert to fraction form
    517.42/714.04 = 284.54/x
  3. Step 3: Cross multiply
    517.42x = 714.04 × 284.54
  4. Step 4: Simplify right side
    517.42x = 203,172.94
  5. Step 5: Solve for x
    x = 203,172.94/517.42
  6. Step 6: Final answer
    x = 392.67

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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.