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Finding the Fourth Proportional to 583.24, 804.97 and 350.40

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Solution

The fourth proportional to 583.24, 804.97 and 350.40 is: 483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.24 : 804.97 = 350.40 : x
  2. Step 2: Convert to fraction form
    583.24/804.97 = 350.40/x
  3. Step 3: Cross multiply
    583.24x = 804.97 × 350.40
  4. Step 4: Simplify right side
    583.24x = 282,061.49
  5. Step 5: Solve for x
    x = 282,061.49/583.24
  6. Step 6: Final answer
    x = 483.61

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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.