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Finding the Fourth Proportional to 586.69, 880.32 and 257.81

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Solution

The fourth proportional to 586.69, 880.32 and 257.81 is: 386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.69 : 880.32 = 257.81 : x
  2. Step 2: Convert to fraction form
    586.69/880.32 = 257.81/x
  3. Step 3: Cross multiply
    586.69x = 880.32 × 257.81
  4. Step 4: Simplify right side
    586.69x = 226,952.89
  5. Step 5: Solve for x
    x = 226,952.89/586.69
  6. Step 6: Final answer
    x = 386.83

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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.