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Finding the Fourth Proportional to 472.53, 708.14 and 264.39

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Solution

The fourth proportional to 472.53, 708.14 and 264.39 is: 396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.53 : 708.14 = 264.39 : x
  2. Step 2: Convert to fraction form
    472.53/708.14 = 264.39/x
  3. Step 3: Cross multiply
    472.53x = 708.14 × 264.39
  4. Step 4: Simplify right side
    472.53x = 187,223.81
  5. Step 5: Solve for x
    x = 187,223.81/472.53
  6. Step 6: Final answer
    x = 396.22

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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.