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Finding the Fourth Proportional to 553.58, 829.40 and 466.82

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Solution

The fourth proportional to 553.58, 829.40 and 466.82 is: 699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.58 : 829.40 = 466.82 : x
  2. Step 2: Convert to fraction form
    553.58/829.40 = 466.82/x
  3. Step 3: Cross multiply
    553.58x = 829.40 × 466.82
  4. Step 4: Simplify right side
    553.58x = 387,180.51
  5. Step 5: Solve for x
    x = 387,180.51/553.58
  6. Step 6: Final answer
    x = 699.41

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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.