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Finding the Fourth Proportional to 513.38, 770.58 and 348.34

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Solution

The fourth proportional to 513.38, 770.58 and 348.34 is: 522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.38 : 770.58 = 348.34 : x
  2. Step 2: Convert to fraction form
    513.38/770.58 = 348.34/x
  3. Step 3: Cross multiply
    513.38x = 770.58 × 348.34
  4. Step 4: Simplify right side
    513.38x = 268,423.84
  5. Step 5: Solve for x
    x = 268,423.84/513.38
  6. Step 6: Final answer
    x = 522.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.