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Finding the Fourth Proportional to 590.67, 884.16 and 384.80

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Solution

The fourth proportional to 590.67, 884.16 and 384.80 is: 575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.67 : 884.16 = 384.80 : x
  2. Step 2: Convert to fraction form
    590.67/884.16 = 384.80/x
  3. Step 3: Cross multiply
    590.67x = 884.16 × 384.80
  4. Step 4: Simplify right side
    590.67x = 340,220.35
  5. Step 5: Solve for x
    x = 340,220.35/590.67
  6. Step 6: Final answer
    x = 575.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.