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Finding the Fourth Proportional to 583.61, 805.24 and 331.52

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Solution

The fourth proportional to 583.61, 805.24 and 331.52 is: 457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.61 : 805.24 = 331.52 : x
  2. Step 2: Convert to fraction form
    583.61/805.24 = 331.52/x
  3. Step 3: Cross multiply
    583.61x = 805.24 × 331.52
  4. Step 4: Simplify right side
    583.61x = 266,953.16
  5. Step 5: Solve for x
    x = 266,953.16/583.61
  6. Step 6: Final answer
    x = 457.42

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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.