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Finding the Fourth Proportional to 348.26, 521.66 and 282.96

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Solution

The fourth proportional to 348.26, 521.66 and 282.96 is: 423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.26 : 521.66 = 282.96 : x
  2. Step 2: Convert to fraction form
    348.26/521.66 = 282.96/x
  3. Step 3: Cross multiply
    348.26x = 521.66 × 282.96
  4. Step 4: Simplify right side
    348.26x = 147,607.50
  5. Step 5: Solve for x
    x = 147,607.50/348.26
  6. Step 6: Final answer
    x = 423.84

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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.