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Finding the Fourth Proportional to 807.03, 1,210.64 and 344.70

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Solution

The fourth proportional to 807.03, 1,210.64 and 344.70 is: 517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.03 : 1,210.64 = 344.70 : x
  2. Step 2: Convert to fraction form
    807.03/1,210.64 = 344.70/x
  3. Step 3: Cross multiply
    807.03x = 1,210.64 × 344.70
  4. Step 4: Simplify right side
    807.03x = 417,305.88
  5. Step 5: Solve for x
    x = 417,305.88/807.03
  6. Step 6: Final answer
    x = 517.09

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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.