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Finding the Fourth Proportional to 522.60, 783.88 and 214.36

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Solution

The fourth proportional to 522.60, 783.88 and 214.36 is: 321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.60 : 783.88 = 214.36 : x
  2. Step 2: Convert to fraction form
    522.60/783.88 = 214.36/x
  3. Step 3: Cross multiply
    522.60x = 783.88 × 214.36
  4. Step 4: Simplify right side
    522.60x = 168,032.52
  5. Step 5: Solve for x
    x = 168,032.52/522.60
  6. Step 6: Final answer
    x = 321.53

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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.