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Finding the Fourth Proportional to 583.52, 805.23 and 334.83

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Solution

The fourth proportional to 583.52, 805.23 and 334.83 is: 462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.52 : 805.23 = 334.83 : x
  2. Step 2: Convert to fraction form
    583.52/805.23 = 334.83/x
  3. Step 3: Cross multiply
    583.52x = 805.23 × 334.83
  4. Step 4: Simplify right side
    583.52x = 269,615.16
  5. Step 5: Solve for x
    x = 269,615.16/583.52
  6. Step 6: Final answer
    x = 462.05

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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.