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Finding the Fourth Proportional to 593.30, 890.19 and 463.10

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Solution

The fourth proportional to 593.30, 890.19 and 463.10 is: 694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.30 : 890.19 = 463.10 : x
  2. Step 2: Convert to fraction form
    593.30/890.19 = 463.10/x
  3. Step 3: Cross multiply
    593.30x = 890.19 × 463.10
  4. Step 4: Simplify right side
    593.30x = 412,246.99
  5. Step 5: Solve for x
    x = 412,246.99/593.30
  6. Step 6: Final answer
    x = 694.84

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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.