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Finding the Fourth Proportional to 560.58, 840.74 and 213.95

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Solution

The fourth proportional to 560.58, 840.74 and 213.95 is: 320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.58 : 840.74 = 213.95 : x
  2. Step 2: Convert to fraction form
    560.58/840.74 = 213.95/x
  3. Step 3: Cross multiply
    560.58x = 840.74 × 213.95
  4. Step 4: Simplify right side
    560.58x = 179,878.96
  5. Step 5: Solve for x
    x = 179,878.96/560.58
  6. Step 6: Final answer
    x = 320.88

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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.