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Finding the Fourth Proportional to 586.99, 880.38 and 221.66

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Solution

The fourth proportional to 586.99, 880.38 and 221.66 is: 332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.99 : 880.38 = 221.66 : x
  2. Step 2: Convert to fraction form
    586.99/880.38 = 221.66/x
  3. Step 3: Cross multiply
    586.99x = 880.38 × 221.66
  4. Step 4: Simplify right side
    586.99x = 195,143.93
  5. Step 5: Solve for x
    x = 195,143.93/586.99
  6. Step 6: Final answer
    x = 332.45

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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.