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Finding the Fourth Proportional to 583.59, 805.33 and 331.48

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Solution

The fourth proportional to 583.59, 805.33 and 331.48 is: 457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.59 : 805.33 = 331.48 : x
  2. Step 2: Convert to fraction form
    583.59/805.33 = 331.48/x
  3. Step 3: Cross multiply
    583.59x = 805.33 × 331.48
  4. Step 4: Simplify right side
    583.59x = 266,950.79
  5. Step 5: Solve for x
    x = 266,950.79/583.59
  6. Step 6: Final answer
    x = 457.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.