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Finding the Fourth Proportional to 583.73, 805.26 and 542.05

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Solution

The fourth proportional to 583.73, 805.26 and 542.05 is: 747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.73 : 805.26 = 542.05 : x
  2. Step 2: Convert to fraction form
    583.73/805.26 = 542.05/x
  3. Step 3: Cross multiply
    583.73x = 805.26 × 542.05
  4. Step 4: Simplify right side
    583.73x = 436,491.18
  5. Step 5: Solve for x
    x = 436,491.18/583.73
  6. Step 6: Final answer
    x = 747.76

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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.