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Finding the Fourth Proportional to 522.22, 783.18 and 214.02

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Solution

The fourth proportional to 522.22, 783.18 and 214.02 is: 320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.22 : 783.18 = 214.02 : x
  2. Step 2: Convert to fraction form
    522.22/783.18 = 214.02/x
  3. Step 3: Cross multiply
    522.22x = 783.18 × 214.02
  4. Step 4: Simplify right side
    522.22x = 167,616.18
  5. Step 5: Solve for x
    x = 167,616.18/522.22
  6. Step 6: Final answer
    x = 320.97

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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.