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Finding the Fourth Proportional to 465.58, 697.49 and 389.03

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Solution

The fourth proportional to 465.58, 697.49 and 389.03 is: 582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.58 : 697.49 = 389.03 : x
  2. Step 2: Convert to fraction form
    465.58/697.49 = 389.03/x
  3. Step 3: Cross multiply
    465.58x = 697.49 × 389.03
  4. Step 4: Simplify right side
    465.58x = 271,342.59
  5. Step 5: Solve for x
    x = 271,342.59/465.58
  6. Step 6: Final answer
    x = 582.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.