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Finding the Fourth Proportional to 511.98, 706.62 and 354.84

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Solution

The fourth proportional to 511.98, 706.62 and 354.84 is: 489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.98 : 706.62 = 354.84 : x
  2. Step 2: Convert to fraction form
    511.98/706.62 = 354.84/x
  3. Step 3: Cross multiply
    511.98x = 706.62 × 354.84
  4. Step 4: Simplify right side
    511.98x = 250,737.04
  5. Step 5: Solve for x
    x = 250,737.04/511.98
  6. Step 6: Final answer
    x = 489.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.