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Finding the Fourth Proportional to 594.13, 890.82 and 319.54

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Solution

The fourth proportional to 594.13, 890.82 and 319.54 is: 479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.13 : 890.82 = 319.54 : x
  2. Step 2: Convert to fraction form
    594.13/890.82 = 319.54/x
  3. Step 3: Cross multiply
    594.13x = 890.82 × 319.54
  4. Step 4: Simplify right side
    594.13x = 284,652.62
  5. Step 5: Solve for x
    x = 284,652.62/594.13
  6. Step 6: Final answer
    x = 479.11

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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.