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Finding the Fourth Proportional to 369.30, 552.98 and 295.83

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Solution

The fourth proportional to 369.30, 552.98 and 295.83 is: 442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.30 : 552.98 = 295.83 : x
  2. Step 2: Convert to fraction form
    369.30/552.98 = 295.83/x
  3. Step 3: Cross multiply
    369.30x = 552.98 × 295.83
  4. Step 4: Simplify right side
    369.30x = 163,586.59
  5. Step 5: Solve for x
    x = 163,586.59/369.30
  6. Step 6: Final answer
    x = 442.96

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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.