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Finding the Fourth Proportional to 620.22, 929.47 and 412.23

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Solution

The fourth proportional to 620.22, 929.47 and 412.23 is: 617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.22 : 929.47 = 412.23 : x
  2. Step 2: Convert to fraction form
    620.22/929.47 = 412.23/x
  3. Step 3: Cross multiply
    620.22x = 929.47 × 412.23
  4. Step 4: Simplify right side
    620.22x = 383,156.06
  5. Step 5: Solve for x
    x = 383,156.06/620.22
  6. Step 6: Final answer
    x = 617.77

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1.5x scale

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.