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Finding the Fourth Proportional to 464.81, 696.61 and 415.77

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Solution

The fourth proportional to 464.81, 696.61 and 415.77 is: 623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.81 : 696.61 = 415.77 : x
  2. Step 2: Convert to fraction form
    464.81/696.61 = 415.77/x
  3. Step 3: Cross multiply
    464.81x = 696.61 × 415.77
  4. Step 4: Simplify right side
    464.81x = 289,629.54
  5. Step 5: Solve for x
    x = 289,629.54/464.81
  6. Step 6: Final answer
    x = 623.11

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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.