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Finding the Fourth Proportional to 583.31, 805.77 and 472.60

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Solution

The fourth proportional to 583.31, 805.77 and 472.60 is: 652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.31 : 805.77 = 472.60 : x
  2. Step 2: Convert to fraction form
    583.31/805.77 = 472.60/x
  3. Step 3: Cross multiply
    583.31x = 805.77 × 472.60
  4. Step 4: Simplify right side
    583.31x = 380,805.84
  5. Step 5: Solve for x
    x = 380,805.84/583.31
  6. Step 6: Final answer
    x = 652.83

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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.