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Finding the Fourth Proportional to 522.61, 783.68 and 214.24

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Solution

The fourth proportional to 522.61, 783.68 and 214.24 is: 321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.61 : 783.68 = 214.24 : x
  2. Step 2: Convert to fraction form
    522.61/783.68 = 214.24/x
  3. Step 3: Cross multiply
    522.61x = 783.68 × 214.24
  4. Step 4: Simplify right side
    522.61x = 167,895.60
  5. Step 5: Solve for x
    x = 167,895.60/522.61
  6. Step 6: Final answer
    x = 321.26

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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.