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Finding the Fourth Proportional to 522.83, 781.94 and 465.45

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Solution

The fourth proportional to 522.83, 781.94 and 465.45 is: 696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.83 : 781.94 = 465.45 : x
  2. Step 2: Convert to fraction form
    522.83/781.94 = 465.45/x
  3. Step 3: Cross multiply
    522.83x = 781.94 × 465.45
  4. Step 4: Simplify right side
    522.83x = 363,953.97
  5. Step 5: Solve for x
    x = 363,953.97/522.83
  6. Step 6: Final answer
    x = 696.12

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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.