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Finding the Fourth Proportional to 722.60, 997.16 and 412.10

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Solution

The fourth proportional to 722.60, 997.16 and 412.10 is: 568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.60 : 997.16 = 412.10 : x
  2. Step 2: Convert to fraction form
    722.60/997.16 = 412.10/x
  3. Step 3: Cross multiply
    722.60x = 997.16 × 412.10
  4. Step 4: Simplify right side
    722.60x = 410,929.64
  5. Step 5: Solve for x
    x = 410,929.64/722.60
  6. Step 6: Final answer
    x = 568.68

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1.5x scale

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.