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Finding the Fourth Proportional to 586.53, 809.49 and 350.55

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Solution

The fourth proportional to 586.53, 809.49 and 350.55 is: 483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.53 : 809.49 = 350.55 : x
  2. Step 2: Convert to fraction form
    586.53/809.49 = 350.55/x
  3. Step 3: Cross multiply
    586.53x = 809.49 × 350.55
  4. Step 4: Simplify right side
    586.53x = 283,766.72
  5. Step 5: Solve for x
    x = 283,766.72/586.53
  6. Step 6: Final answer
    x = 483.81

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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.