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Finding the Fourth Proportional to 583.36, 805.14 and 350.50

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Solution

The fourth proportional to 583.36, 805.14 and 350.50 is: 483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.36 : 805.14 = 350.50 : x
  2. Step 2: Convert to fraction form
    583.36/805.14 = 350.50/x
  3. Step 3: Cross multiply
    583.36x = 805.14 × 350.50
  4. Step 4: Simplify right side
    583.36x = 282,201.57
  5. Step 5: Solve for x
    x = 282,201.57/583.36
  6. Step 6: Final answer
    x = 483.75

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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.