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Finding the Fourth Proportional to 348.76, 522.98 and 314.84

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Solution

The fourth proportional to 348.76, 522.98 and 314.84 is: 472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.76 : 522.98 = 314.84 : x
  2. Step 2: Convert to fraction form
    348.76/522.98 = 314.84/x
  3. Step 3: Cross multiply
    348.76x = 522.98 × 314.84
  4. Step 4: Simplify right side
    348.76x = 164,650.83
  5. Step 5: Solve for x
    x = 164,650.83/348.76
  6. Step 6: Final answer
    x = 472.11

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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.