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Finding the Fourth Proportional to 553.08, 828.46 and 421.68

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Solution

The fourth proportional to 553.08, 828.46 and 421.68 is: 631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.08 : 828.46 = 421.68 : x
  2. Step 2: Convert to fraction form
    553.08/828.46 = 421.68/x
  3. Step 3: Cross multiply
    553.08x = 828.46 × 421.68
  4. Step 4: Simplify right side
    553.08x = 349,345.01
  5. Step 5: Solve for x
    x = 349,345.01/553.08
  6. Step 6: Final answer
    x = 631.64

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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.