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Finding the Fourth Proportional to 522.42, 783.06 and 214.14

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Solution

The fourth proportional to 522.42, 783.06 and 214.14 is: 320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.42 : 783.06 = 214.14 : x
  2. Step 2: Convert to fraction form
    522.42/783.06 = 214.14/x
  3. Step 3: Cross multiply
    522.42x = 783.06 × 214.14
  4. Step 4: Simplify right side
    522.42x = 167,684.47
  5. Step 5: Solve for x
    x = 167,684.47/522.42
  6. Step 6: Final answer
    x = 320.98

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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.