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Finding the Fourth Proportional to 583.58, 874.83 and 352.19

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Solution

The fourth proportional to 583.58, 874.83 and 352.19 is: 527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.58 : 874.83 = 352.19 : x
  2. Step 2: Convert to fraction form
    583.58/874.83 = 352.19/x
  3. Step 3: Cross multiply
    583.58x = 874.83 × 352.19
  4. Step 4: Simplify right side
    583.58x = 308,106.38
  5. Step 5: Solve for x
    x = 308,106.38/583.58
  6. Step 6: Final answer
    x = 527.96

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Why These Related Problems?

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