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Finding the Fourth Proportional to 593.98, 889.28 and 315.70

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Solution

The fourth proportional to 593.98, 889.28 and 315.70 is: 472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.98 : 889.28 = 315.70 : x
  2. Step 2: Convert to fraction form
    593.98/889.28 = 315.70/x
  3. Step 3: Cross multiply
    593.98x = 889.28 × 315.70
  4. Step 4: Simplify right side
    593.98x = 280,745.70
  5. Step 5: Solve for x
    x = 280,745.70/593.98
  6. Step 6: Final answer
    x = 472.65

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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.