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Finding the Fourth Proportional to 583.74, 805.41 and 347.49

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Solution

The fourth proportional to 583.74, 805.41 and 347.49 is: 479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.74 : 805.41 = 347.49 : x
  2. Step 2: Convert to fraction form
    583.74/805.41 = 347.49/x
  3. Step 3: Cross multiply
    583.74x = 805.41 × 347.49
  4. Step 4: Simplify right side
    583.74x = 279,871.92
  5. Step 5: Solve for x
    x = 279,871.92/583.74
  6. Step 6: Final answer
    x = 479.45

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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.