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Finding the Fourth Proportional to 463.09, 694.74 and 412.11

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Solution

The fourth proportional to 463.09, 694.74 and 412.11 is: 618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.09 : 694.74 = 412.11 : x
  2. Step 2: Convert to fraction form
    463.09/694.74 = 412.11/x
  3. Step 3: Cross multiply
    463.09x = 694.74 × 412.11
  4. Step 4: Simplify right side
    463.09x = 286,307.24
  5. Step 5: Solve for x
    x = 286,307.24/463.09
  6. Step 6: Final answer
    x = 618.26

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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.