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Finding the Fourth Proportional to 583.02, 804.60 and 334.35

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Solution

The fourth proportional to 583.02, 804.60 and 334.35 is: 461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.02 : 804.60 = 334.35 : x
  2. Step 2: Convert to fraction form
    583.02/804.60 = 334.35/x
  3. Step 3: Cross multiply
    583.02x = 804.60 × 334.35
  4. Step 4: Simplify right side
    583.02x = 269,018.01
  5. Step 5: Solve for x
    x = 269,018.01/583.02
  6. Step 6: Final answer
    x = 461.42

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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.