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Finding the Fourth Proportional to 579.49, 799.70 and 313.93

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Solution

The fourth proportional to 579.49, 799.70 and 313.93 is: 433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.49 : 799.70 = 313.93 : x
  2. Step 2: Convert to fraction form
    579.49/799.70 = 313.93/x
  3. Step 3: Cross multiply
    579.49x = 799.70 × 313.93
  4. Step 4: Simplify right side
    579.49x = 251,052.34
  5. Step 5: Solve for x
    x = 251,052.34/579.49
  6. Step 6: Final answer
    x = 433.23

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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.