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Finding the Fourth Proportional to 560.16, 840.24 and 213.39

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Solution

The fourth proportional to 560.16, 840.24 and 213.39 is: 320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.16 : 840.24 = 213.39 : x
  2. Step 2: Convert to fraction form
    560.16/840.24 = 213.39/x
  3. Step 3: Cross multiply
    560.16x = 840.24 × 213.39
  4. Step 4: Simplify right side
    560.16x = 179,298.81
  5. Step 5: Solve for x
    x = 179,298.81/560.16
  6. Step 6: Final answer
    x = 320.09

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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.