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Finding the Fourth Proportional to 593.89, 889.91 and 463.58

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Solution

The fourth proportional to 593.89, 889.91 and 463.58 is: 694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.89 : 889.91 = 463.58 : x
  2. Step 2: Convert to fraction form
    593.89/889.91 = 463.58/x
  3. Step 3: Cross multiply
    593.89x = 889.91 × 463.58
  4. Step 4: Simplify right side
    593.89x = 412,537.71
  5. Step 5: Solve for x
    x = 412,537.71/593.89
  6. Step 6: Final answer
    x = 694.64

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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.