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Finding the Fourth Proportional to 583.42, 805.12 and 334.74

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Solution

The fourth proportional to 583.42, 805.12 and 334.74 is: 461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.42 : 805.12 = 334.74 : x
  2. Step 2: Convert to fraction form
    583.42/805.12 = 334.74/x
  3. Step 3: Cross multiply
    583.42x = 805.12 × 334.74
  4. Step 4: Simplify right side
    583.42x = 269,505.87
  5. Step 5: Solve for x
    x = 269,505.87/583.42
  6. Step 6: Final answer
    x = 461.94

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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.