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Finding the Fourth Proportional to 522.54, 722.68 and 467.18

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Solution

The fourth proportional to 522.54, 722.68 and 467.18 is: 646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.54 : 722.68 = 467.18 : x
  2. Step 2: Convert to fraction form
    522.54/722.68 = 467.18/x
  3. Step 3: Cross multiply
    522.54x = 722.68 × 467.18
  4. Step 4: Simplify right side
    522.54x = 337,621.64
  5. Step 5: Solve for x
    x = 337,621.64/522.54
  6. Step 6: Final answer
    x = 646.12

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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.