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Finding the Fourth Proportional to 549.90, 823.86 and 472.14

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Solution

The fourth proportional to 549.90, 823.86 and 472.14 is: 707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.90 : 823.86 = 472.14 : x
  2. Step 2: Convert to fraction form
    549.90/823.86 = 472.14/x
  3. Step 3: Cross multiply
    549.90x = 823.86 × 472.14
  4. Step 4: Simplify right side
    549.90x = 388,977.26
  5. Step 5: Solve for x
    x = 388,977.26/549.90
  6. Step 6: Final answer
    x = 707.36

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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.