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Finding the Fourth Proportional to 560.42, 840.72 and 213.74

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Solution

The fourth proportional to 560.42, 840.72 and 213.74 is: 320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.42 : 840.72 = 213.74 : x
  2. Step 2: Convert to fraction form
    560.42/840.72 = 213.74/x
  3. Step 3: Cross multiply
    560.42x = 840.72 × 213.74
  4. Step 4: Simplify right side
    560.42x = 179,695.49
  5. Step 5: Solve for x
    x = 179,695.49/560.42
  6. Step 6: Final answer
    x = 320.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.