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Finding the Fourth Proportional to 594.78, 892.13 and 210.02

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Solution

The fourth proportional to 594.78, 892.13 and 210.02 is: 315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.78 : 892.13 = 210.02 : x
  2. Step 2: Convert to fraction form
    594.78/892.13 = 210.02/x
  3. Step 3: Cross multiply
    594.78x = 892.13 × 210.02
  4. Step 4: Simplify right side
    594.78x = 187,365.14
  5. Step 5: Solve for x
    x = 187,365.14/594.78
  6. Step 6: Final answer
    x = 315.02

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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.