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Finding the Fourth Proportional to 348.55, 522.06 and 286.99

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Solution

The fourth proportional to 348.55, 522.06 and 286.99 is: 429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.55 : 522.06 = 286.99 : x
  2. Step 2: Convert to fraction form
    348.55/522.06 = 286.99/x
  3. Step 3: Cross multiply
    348.55x = 522.06 × 286.99
  4. Step 4: Simplify right side
    348.55x = 149,826.00
  5. Step 5: Solve for x
    x = 149,826.00/348.55
  6. Step 6: Final answer
    x = 429.86

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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.