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Finding the Fourth Proportional to 593.48, 893.67 and 440.49

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Solution

The fourth proportional to 593.48, 893.67 and 440.49 is: 663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.48 : 893.67 = 440.49 : x
  2. Step 2: Convert to fraction form
    593.48/893.67 = 440.49/x
  3. Step 3: Cross multiply
    593.48x = 893.67 × 440.49
  4. Step 4: Simplify right side
    593.48x = 393,652.70
  5. Step 5: Solve for x
    x = 393,652.70/593.48
  6. Step 6: Final answer
    x = 663.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.