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Finding the Fourth Proportional to 583.54, 876.53 and 492.42

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Solution

The fourth proportional to 583.54, 876.53 and 492.42 is: 739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.54 : 876.53 = 492.42 : x
  2. Step 2: Convert to fraction form
    583.54/876.53 = 492.42/x
  3. Step 3: Cross multiply
    583.54x = 876.53 × 492.42
  4. Step 4: Simplify right side
    583.54x = 431,620.90
  5. Step 5: Solve for x
    x = 431,620.90/583.54
  6. Step 6: Final answer
    x = 739.66

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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.