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Finding the Fourth Proportional to 566.90, 851.22 and 498.99

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Solution

The fourth proportional to 566.90, 851.22 and 498.99 is: 749.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.90 : 851.22 = 498.99 : x
  2. Step 2: Convert to fraction form
    566.90/851.22 = 498.99/x
  3. Step 3: Cross multiply
    566.90x = 851.22 × 498.99
  4. Step 4: Simplify right side
    566.90x = 424,750.27
  5. Step 5: Solve for x
    x = 424,750.27/566.90
  6. Step 6: Final answer
    x = 749.26

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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.