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Finding the Fourth Proportional to 586.84, 880.28 and 196.82

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Solution

The fourth proportional to 586.84, 880.28 and 196.82 is: 295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.84 : 880.28 = 196.82 : x
  2. Step 2: Convert to fraction form
    586.84/880.28 = 196.82/x
  3. Step 3: Cross multiply
    586.84x = 880.28 × 196.82
  4. Step 4: Simplify right side
    586.84x = 173,256.71
  5. Step 5: Solve for x
    x = 173,256.71/586.84
  6. Step 6: Final answer
    x = 295.24

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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.