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Finding the Fourth Proportional to 909.02, 1,361.36 and 447.10

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Solution

The fourth proportional to 909.02, 1,361.36 and 447.10 is: 669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.02 : 1,361.36 = 447.10 : x
  2. Step 2: Convert to fraction form
    909.02/1,361.36 = 447.10/x
  3. Step 3: Cross multiply
    909.02x = 1,361.36 × 447.10
  4. Step 4: Simplify right side
    909.02x = 608,664.06
  5. Step 5: Solve for x
    x = 608,664.06/909.02
  6. Step 6: Final answer
    x = 669.58

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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.