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Finding the Fourth Proportional to 583.86, 875.28 and 378.54

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Solution

The fourth proportional to 583.86, 875.28 and 378.54 is: 567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.86 : 875.28 = 378.54 : x
  2. Step 2: Convert to fraction form
    583.86/875.28 = 378.54/x
  3. Step 3: Cross multiply
    583.86x = 875.28 × 378.54
  4. Step 4: Simplify right side
    583.86x = 331,328.49
  5. Step 5: Solve for x
    x = 331,328.49/583.86
  6. Step 6: Final answer
    x = 567.48

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