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Finding the Fourth Proportional to 522.63, 719.06 and 452.47

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Solution

The fourth proportional to 522.63, 719.06 and 452.47 is: 622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.63 : 719.06 = 452.47 : x
  2. Step 2: Convert to fraction form
    522.63/719.06 = 452.47/x
  3. Step 3: Cross multiply
    522.63x = 719.06 × 452.47
  4. Step 4: Simplify right side
    522.63x = 325,353.08
  5. Step 5: Solve for x
    x = 325,353.08/522.63
  6. Step 6: Final answer
    x = 622.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.