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Finding the Fourth Proportional to 738.16, 1,107.12 and 305.20

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Solution

The fourth proportional to 738.16, 1,107.12 and 305.20 is: 457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.16 : 1,107.12 = 305.20 : x
  2. Step 2: Convert to fraction form
    738.16/1,107.12 = 305.20/x
  3. Step 3: Cross multiply
    738.16x = 1,107.12 × 305.20
  4. Step 4: Simplify right side
    738.16x = 337,893.02
  5. Step 5: Solve for x
    x = 337,893.02/738.16
  6. Step 6: Final answer
    x = 457.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.