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Finding the Fourth Proportional to 593.34, 890.02 and 458.03

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Solution

The fourth proportional to 593.34, 890.02 and 458.03 is: 687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.34 : 890.02 = 458.03 : x
  2. Step 2: Convert to fraction form
    593.34/890.02 = 458.03/x
  3. Step 3: Cross multiply
    593.34x = 890.02 × 458.03
  4. Step 4: Simplify right side
    593.34x = 407,658.66
  5. Step 5: Solve for x
    x = 407,658.66/593.34
  6. Step 6: Final answer
    x = 687.06

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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.