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Finding the Fourth Proportional to 593.79, 889.93 and 268.50

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Solution

The fourth proportional to 593.79, 889.93 and 268.50 is: 402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.79 : 889.93 = 268.50 : x
  2. Step 2: Convert to fraction form
    593.79/889.93 = 268.50/x
  3. Step 3: Cross multiply
    593.79x = 889.93 × 268.50
  4. Step 4: Simplify right side
    593.79x = 238,946.21
  5. Step 5: Solve for x
    x = 238,946.21/593.79
  6. Step 6: Final answer
    x = 402.41

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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.