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Finding the Fourth Proportional to 522.05, 783.68 and 414.32

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Solution

The fourth proportional to 522.05, 783.68 and 414.32 is: 621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.05 : 783.68 = 414.32 : x
  2. Step 2: Convert to fraction form
    522.05/783.68 = 414.32/x
  3. Step 3: Cross multiply
    522.05x = 783.68 × 414.32
  4. Step 4: Simplify right side
    522.05x = 324,688.31
  5. Step 5: Solve for x
    x = 324,688.31/522.05
  6. Step 6: Final answer
    x = 621.95

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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.