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Finding the Fourth Proportional to 469.94, 701.73 and 401.36

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Solution

The fourth proportional to 469.94, 701.73 and 401.36 is: 599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.94 : 701.73 = 401.36 : x
  2. Step 2: Convert to fraction form
    469.94/701.73 = 401.36/x
  3. Step 3: Cross multiply
    469.94x = 701.73 × 401.36
  4. Step 4: Simplify right side
    469.94x = 281,642.84
  5. Step 5: Solve for x
    x = 281,642.84/469.94
  6. Step 6: Final answer
    x = 599.32

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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.