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Finding the Fourth Proportional to 583.49, 805.35 and 362.61

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Solution

The fourth proportional to 583.49, 805.35 and 362.61 is: 500.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.49 : 805.35 = 362.61 : x
  2. Step 2: Convert to fraction form
    583.49/805.35 = 362.61/x
  3. Step 3: Cross multiply
    583.49x = 805.35 × 362.61
  4. Step 4: Simplify right side
    583.49x = 292,023.94
  5. Step 5: Solve for x
    x = 292,023.94/583.49
  6. Step 6: Final answer
    x = 500.48

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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.