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Finding the Fourth Proportional to 583.67, 805.32 and 397.77

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Solution

The fourth proportional to 583.67, 805.32 and 397.77 is: 548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.67 : 805.32 = 397.77 : x
  2. Step 2: Convert to fraction form
    583.67/805.32 = 397.77/x
  3. Step 3: Cross multiply
    583.67x = 805.32 × 397.77
  4. Step 4: Simplify right side
    583.67x = 320,332.14
  5. Step 5: Solve for x
    x = 320,332.14/583.67
  6. Step 6: Final answer
    x = 548.82

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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.