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Finding the Fourth Proportional to 652.12, 977.22 and 363.16

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Solution

The fourth proportional to 652.12, 977.22 and 363.16 is: 544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.12 : 977.22 = 363.16 : x
  2. Step 2: Convert to fraction form
    652.12/977.22 = 363.16/x
  3. Step 3: Cross multiply
    652.12x = 977.22 × 363.16
  4. Step 4: Simplify right side
    652.12x = 354,887.22
  5. Step 5: Solve for x
    x = 354,887.22/652.12
  6. Step 6: Final answer
    x = 544.21

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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.