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Finding the Fourth Proportional to 586.46, 809.27 and 350.41

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Solution

The fourth proportional to 586.46, 809.27 and 350.41 is: 483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.46 : 809.27 = 350.41 : x
  2. Step 2: Convert to fraction form
    586.46/809.27 = 350.41/x
  3. Step 3: Cross multiply
    586.46x = 809.27 × 350.41
  4. Step 4: Simplify right side
    586.46x = 283,572.25
  5. Step 5: Solve for x
    x = 283,572.25/586.46
  6. Step 6: Final answer
    x = 483.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.