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Finding the Fourth Proportional to 583.77, 805.32 and 359.77

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Solution

The fourth proportional to 583.77, 805.32 and 359.77 is: 496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.77 : 805.32 = 359.77 : x
  2. Step 2: Convert to fraction form
    583.77/805.32 = 359.77/x
  3. Step 3: Cross multiply
    583.77x = 805.32 × 359.77
  4. Step 4: Simplify right side
    583.77x = 289,731.29
  5. Step 5: Solve for x
    x = 289,731.29/583.77
  6. Step 6: Final answer
    x = 496.31

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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.