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Finding the Fourth Proportional to 577.68, 798.30 and 438.23

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Solution

The fourth proportional to 577.68, 798.30 and 438.23 is: 605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.68 : 798.30 = 438.23 : x
  2. Step 2: Convert to fraction form
    577.68/798.30 = 438.23/x
  3. Step 3: Cross multiply
    577.68x = 798.30 × 438.23
  4. Step 4: Simplify right side
    577.68x = 349,835.02
  5. Step 5: Solve for x
    x = 349,835.02/577.68
  6. Step 6: Final answer
    x = 605.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.