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Finding the Fourth Proportional to 586.89, 880.38 and 298.17

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Solution

The fourth proportional to 586.89, 880.38 and 298.17 is: 447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.89 : 880.38 = 298.17 : x
  2. Step 2: Convert to fraction form
    586.89/880.38 = 298.17/x
  3. Step 3: Cross multiply
    586.89x = 880.38 × 298.17
  4. Step 4: Simplify right side
    586.89x = 262,502.90
  5. Step 5: Solve for x
    x = 262,502.90/586.89
  6. Step 6: Final answer
    x = 447.28

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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.