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Finding the Fourth Proportional to 522.36, 783.07 and 214.16

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Solution

The fourth proportional to 522.36, 783.07 and 214.16 is: 321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.36 : 783.07 = 214.16 : x
  2. Step 2: Convert to fraction form
    522.36/783.07 = 214.16/x
  3. Step 3: Cross multiply
    522.36x = 783.07 × 214.16
  4. Step 4: Simplify right side
    522.36x = 167,697.82
  5. Step 5: Solve for x
    x = 167,697.82/522.36
  6. Step 6: Final answer
    x = 321.04

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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.