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Finding the Fourth Proportional to 583.48, 804.90 and 347.24

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Solution

The fourth proportional to 583.48, 804.90 and 347.24 is: 479.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.48 : 804.90 = 347.24 : x
  2. Step 2: Convert to fraction form
    583.48/804.90 = 347.24/x
  3. Step 3: Cross multiply
    583.48x = 804.90 × 347.24
  4. Step 4: Simplify right side
    583.48x = 279,493.48
  5. Step 5: Solve for x
    x = 279,493.48/583.48
  6. Step 6: Final answer
    x = 479.01

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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.