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Finding the Fourth Proportional to 919.36, 1,377.76 and 431.20

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Solution

The fourth proportional to 919.36, 1,377.76 and 431.20 is: 646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.36 : 1,377.76 = 431.20 : x
  2. Step 2: Convert to fraction form
    919.36/1,377.76 = 431.20/x
  3. Step 3: Cross multiply
    919.36x = 1,377.76 × 431.20
  4. Step 4: Simplify right side
    919.36x = 594,090.11
  5. Step 5: Solve for x
    x = 594,090.11/919.36
  6. Step 6: Final answer
    x = 646.20

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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.