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Finding the Fourth Proportional to 621.60, 929.59 and 465.54

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Solution

The fourth proportional to 621.60, 929.59 and 465.54 is: 696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.60 : 929.59 = 465.54 : x
  2. Step 2: Convert to fraction form
    621.60/929.59 = 465.54/x
  3. Step 3: Cross multiply
    621.60x = 929.59 × 465.54
  4. Step 4: Simplify right side
    621.60x = 432,761.33
  5. Step 5: Solve for x
    x = 432,761.33/621.60
  6. Step 6: Final answer
    x = 696.21

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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.