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Finding the Fourth Proportional to 583.81, 805.31 and 376.81

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Solution

The fourth proportional to 583.81, 805.31 and 376.81 is: 519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.81 : 805.31 = 376.81 : x
  2. Step 2: Convert to fraction form
    583.81/805.31 = 376.81/x
  3. Step 3: Cross multiply
    583.81x = 805.31 × 376.81
  4. Step 4: Simplify right side
    583.81x = 303,444.83
  5. Step 5: Solve for x
    x = 303,444.83/583.81
  6. Step 6: Final answer
    x = 519.77

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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.