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Finding the Fourth Proportional to 583.49, 873.87 and 323.08

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Solution

The fourth proportional to 583.49, 873.87 and 323.08 is: 483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.49 : 873.87 = 323.08 : x
  2. Step 2: Convert to fraction form
    583.49/873.87 = 323.08/x
  3. Step 3: Cross multiply
    583.49x = 873.87 × 323.08
  4. Step 4: Simplify right side
    583.49x = 282,328.34
  5. Step 5: Solve for x
    x = 282,328.34/583.49
  6. Step 6: Final answer
    x = 483.86

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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.