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Finding the Fourth Proportional to 560.14, 840.22 and 213.63

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Solution

The fourth proportional to 560.14, 840.22 and 213.63 is: 320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.14 : 840.22 = 213.63 : x
  2. Step 2: Convert to fraction form
    560.14/840.22 = 213.63/x
  3. Step 3: Cross multiply
    560.14x = 840.22 × 213.63
  4. Step 4: Simplify right side
    560.14x = 179,496.20
  5. Step 5: Solve for x
    x = 179,496.20/560.14
  6. Step 6: Final answer
    x = 320.45

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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.