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Finding the Fourth Proportional to 586.82, 880.35 and 262.19

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Solution

The fourth proportional to 586.82, 880.35 and 262.19 is: 393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.82 : 880.35 = 262.19 : x
  2. Step 2: Convert to fraction form
    586.82/880.35 = 262.19/x
  3. Step 3: Cross multiply
    586.82x = 880.35 × 262.19
  4. Step 4: Simplify right side
    586.82x = 230,817.87
  5. Step 5: Solve for x
    x = 230,817.87/586.82
  6. Step 6: Final answer
    x = 393.34

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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.