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Finding the Fourth Proportional to 594.10, 890.00 and 333.30

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Solution

The fourth proportional to 594.10, 890.00 and 333.30 is: 499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.10 : 890.00 = 333.30 : x
  2. Step 2: Convert to fraction form
    594.10/890.00 = 333.30/x
  3. Step 3: Cross multiply
    594.10x = 890.00 × 333.30
  4. Step 4: Simplify right side
    594.10x = 296,639.14
  5. Step 5: Solve for x
    x = 296,639.14/594.10
  6. Step 6: Final answer
    x = 499.31

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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.