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Finding the Fourth Proportional to 594.41, 890.42 and 543.65

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Solution

The fourth proportional to 594.41, 890.42 and 543.65 is: 814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.41 : 890.42 = 543.65 : x
  2. Step 2: Convert to fraction form
    594.41/890.42 = 543.65/x
  3. Step 3: Cross multiply
    594.41x = 890.42 × 543.65
  4. Step 4: Simplify right side
    594.41x = 484,072.38
  5. Step 5: Solve for x
    x = 484,072.38/594.41
  6. Step 6: Final answer
    x = 814.38

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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.