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Finding the Fourth Proportional to 467.64, 696.78 and 416.52

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Solution

The fourth proportional to 467.64, 696.78 and 416.52 is: 620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.64 : 696.78 = 416.52 : x
  2. Step 2: Convert to fraction form
    467.64/696.78 = 416.52/x
  3. Step 3: Cross multiply
    467.64x = 696.78 × 416.52
  4. Step 4: Simplify right side
    467.64x = 290,222.81
  5. Step 5: Solve for x
    x = 290,222.81/467.64
  6. Step 6: Final answer
    x = 620.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.