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Finding the Fourth Proportional to 522.60, 783.93 and 214.59

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Solution

The fourth proportional to 522.60, 783.93 and 214.59 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.60 : 783.93 = 214.59 : x
  2. Step 2: Convert to fraction form
    522.60/783.93 = 214.59/x
  3. Step 3: Cross multiply
    522.60x = 783.93 × 214.59
  4. Step 4: Simplify right side
    522.60x = 168,227.28
  5. Step 5: Solve for x
    x = 168,227.28/522.60
  6. Step 6: Final answer
    x = 321.91

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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.