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Finding the Fourth Proportional to 594.17, 890.34 and 377.09

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Solution

The fourth proportional to 594.17, 890.34 and 377.09 is: 565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.17 : 890.34 = 377.09 : x
  2. Step 2: Convert to fraction form
    594.17/890.34 = 377.09/x
  3. Step 3: Cross multiply
    594.17x = 890.34 × 377.09
  4. Step 4: Simplify right side
    594.17x = 335,733.86
  5. Step 5: Solve for x
    x = 335,733.86/594.17
  6. Step 6: Final answer
    x = 565.05

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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.