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Finding the Fourth Proportional to 586.99, 880.48 and 154.14

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Solution

The fourth proportional to 586.99, 880.48 and 154.14 is: 231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.99 : 880.48 = 154.14 : x
  2. Step 2: Convert to fraction form
    586.99/880.48 = 154.14/x
  3. Step 3: Cross multiply
    586.99x = 880.48 × 154.14
  4. Step 4: Simplify right side
    586.99x = 135,717.19
  5. Step 5: Solve for x
    x = 135,717.19/586.99
  6. Step 6: Final answer
    x = 231.21

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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.