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Finding the Fourth Proportional to 583.48, 803.52 and 537.34

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Solution

The fourth proportional to 583.48, 803.52 and 537.34 is: 739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.48 : 803.52 = 537.34 : x
  2. Step 2: Convert to fraction form
    583.48/803.52 = 537.34/x
  3. Step 3: Cross multiply
    583.48x = 803.52 × 537.34
  4. Step 4: Simplify right side
    583.48x = 431,763.44
  5. Step 5: Solve for x
    x = 431,763.44/583.48
  6. Step 6: Final answer
    x = 739.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.