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Finding the Fourth Proportional to 464.82, 693.54 and 453.84

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Solution

The fourth proportional to 464.82, 693.54 and 453.84 is: 677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.82 : 693.54 = 453.84 : x
  2. Step 2: Convert to fraction form
    464.82/693.54 = 453.84/x
  3. Step 3: Cross multiply
    464.82x = 693.54 × 453.84
  4. Step 4: Simplify right side
    464.82x = 314,756.19
  5. Step 5: Solve for x
    x = 314,756.19/464.82
  6. Step 6: Final answer
    x = 677.16

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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.