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Finding the Fourth Proportional to 594.90, 892.08 and 210.15

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Solution

The fourth proportional to 594.90, 892.08 and 210.15 is: 315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.90 : 892.08 = 210.15 : x
  2. Step 2: Convert to fraction form
    594.90/892.08 = 210.15/x
  3. Step 3: Cross multiply
    594.90x = 892.08 × 210.15
  4. Step 4: Simplify right side
    594.90x = 187,470.61
  5. Step 5: Solve for x
    x = 187,470.61/594.90
  6. Step 6: Final answer
    x = 315.13

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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.