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Finding the Fourth Proportional to 583.74, 805.26 and 542.04

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Solution

The fourth proportional to 583.74, 805.26 and 542.04 is: 747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.74 : 805.26 = 542.04 : x
  2. Step 2: Convert to fraction form
    583.74/805.26 = 542.04/x
  3. Step 3: Cross multiply
    583.74x = 805.26 × 542.04
  4. Step 4: Simplify right side
    583.74x = 436,483.13
  5. Step 5: Solve for x
    x = 436,483.13/583.74
  6. Step 6: Final answer
    x = 747.74

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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.