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Finding the Fourth Proportional to 583.66, 874.34 and 352.65

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Solution

The fourth proportional to 583.66, 874.34 and 352.65 is: 528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.66 : 874.34 = 352.65 : x
  2. Step 2: Convert to fraction form
    583.66/874.34 = 352.65/x
  3. Step 3: Cross multiply
    583.66x = 874.34 × 352.65
  4. Step 4: Simplify right side
    583.66x = 308,340.82
  5. Step 5: Solve for x
    x = 308,340.82/583.66
  6. Step 6: Final answer
    x = 528.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.