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Finding the Fourth Proportional to 583.39, 805.03 and 350.47

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Solution

The fourth proportional to 583.39, 805.03 and 350.47 is: 483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.39 : 805.03 = 350.47 : x
  2. Step 2: Convert to fraction form
    583.39/805.03 = 350.47/x
  3. Step 3: Cross multiply
    583.39x = 805.03 × 350.47
  4. Step 4: Simplify right side
    583.39x = 282,138.86
  5. Step 5: Solve for x
    x = 282,138.86/583.39
  6. Step 6: Final answer
    x = 483.62

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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.