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Finding the Fourth Proportional to 583.22, 805.04 and 373.71

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Solution

The fourth proportional to 583.22, 805.04 and 373.71 is: 515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.22 : 805.04 = 373.71 : x
  2. Step 2: Convert to fraction form
    583.22/805.04 = 373.71/x
  3. Step 3: Cross multiply
    583.22x = 805.04 × 373.71
  4. Step 4: Simplify right side
    583.22x = 300,849.63
  5. Step 5: Solve for x
    x = 300,849.63/583.22
  6. Step 6: Final answer
    x = 515.85

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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.