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Finding the Fourth Proportional to 593.88, 891.05 and 297.62

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Solution

The fourth proportional to 593.88, 891.05 and 297.62 is: 446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.88 : 891.05 = 297.62 : x
  2. Step 2: Convert to fraction form
    593.88/891.05 = 297.62/x
  3. Step 3: Cross multiply
    593.88x = 891.05 × 297.62
  4. Step 4: Simplify right side
    593.88x = 265,188.36
  5. Step 5: Solve for x
    x = 265,188.36/593.88
  6. Step 6: Final answer
    x = 446.54

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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.