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Finding the Fourth Proportional to 511.48, 766.36 and 348.84

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Solution

The fourth proportional to 511.48, 766.36 and 348.84 is: 522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.48 : 766.36 = 348.84 : x
  2. Step 2: Convert to fraction form
    511.48/766.36 = 348.84/x
  3. Step 3: Cross multiply
    511.48x = 766.36 × 348.84
  4. Step 4: Simplify right side
    511.48x = 267,337.02
  5. Step 5: Solve for x
    x = 267,337.02/511.48
  6. Step 6: Final answer
    x = 522.67

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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.