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Finding the Fourth Proportional to 593.66, 890.66 and 228.35

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Solution

The fourth proportional to 593.66, 890.66 and 228.35 is: 342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.66 : 890.66 = 228.35 : x
  2. Step 2: Convert to fraction form
    593.66/890.66 = 228.35/x
  3. Step 3: Cross multiply
    593.66x = 890.66 × 228.35
  4. Step 4: Simplify right side
    593.66x = 203,385.01
  5. Step 5: Solve for x
    x = 203,385.01/593.66
  6. Step 6: Final answer
    x = 342.59

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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.