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Finding the Fourth Proportional to 583.05, 804.40 and 347.03

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Solution

The fourth proportional to 583.05, 804.40 and 347.03 is: 478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.05 : 804.40 = 347.03 : x
  2. Step 2: Convert to fraction form
    583.05/804.40 = 347.03/x
  3. Step 3: Cross multiply
    583.05x = 804.40 × 347.03
  4. Step 4: Simplify right side
    583.05x = 279,149.20
  5. Step 5: Solve for x
    x = 279,149.20/583.05
  6. Step 6: Final answer
    x = 478.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.