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Finding the Fourth Proportional to 586.27, 879.31 and 322.07

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Solution

The fourth proportional to 586.27, 879.31 and 322.07 is: 483.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.27 : 879.31 = 322.07 : x
  2. Step 2: Convert to fraction form
    586.27/879.31 = 322.07/x
  3. Step 3: Cross multiply
    586.27x = 879.31 × 322.07
  4. Step 4: Simplify right side
    586.27x = 283,200.76
  5. Step 5: Solve for x
    x = 283,200.76/586.27
  6. Step 6: Final answer
    x = 483.06

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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.