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Finding the Fourth Proportional to 463.79, 694.44 and 383.00

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Solution

The fourth proportional to 463.79, 694.44 and 383.00 is: 573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.79 : 694.44 = 383.00 : x
  2. Step 2: Convert to fraction form
    463.79/694.44 = 383.00/x
  3. Step 3: Cross multiply
    463.79x = 694.44 × 383.00
  4. Step 4: Simplify right side
    463.79x = 265,967.05
  5. Step 5: Solve for x
    x = 265,967.05/463.79
  6. Step 6: Final answer
    x = 573.46

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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.