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Finding the Fourth Proportional to 560.34, 840.33 and 213.41

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Solution

The fourth proportional to 560.34, 840.33 and 213.41 is: 320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.34 : 840.33 = 213.41 : x
  2. Step 2: Convert to fraction form
    560.34/840.33 = 213.41/x
  3. Step 3: Cross multiply
    560.34x = 840.33 × 213.41
  4. Step 4: Simplify right side
    560.34x = 179,336.93
  5. Step 5: Solve for x
    x = 179,336.93/560.34
  6. Step 6: Final answer
    x = 320.05

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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.