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Finding the Fourth Proportional to 583.58, 873.88 and 323.29

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Solution

The fourth proportional to 583.58, 873.88 and 323.29 is: 484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.58 : 873.88 = 323.29 : x
  2. Step 2: Convert to fraction form
    583.58/873.88 = 323.29/x
  3. Step 3: Cross multiply
    583.58x = 873.88 × 323.29
  4. Step 4: Simplify right side
    583.58x = 282,516.95
  5. Step 5: Solve for x
    x = 282,516.95/583.58
  6. Step 6: Final answer
    x = 484.11

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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.