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Finding the Fourth Proportional to 423.05, 582.80 and 402.20

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Solution

The fourth proportional to 423.05, 582.80 and 402.20 is: 554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.05 : 582.80 = 402.20 : x
  2. Step 2: Convert to fraction form
    423.05/582.80 = 402.20/x
  3. Step 3: Cross multiply
    423.05x = 582.80 × 402.20
  4. Step 4: Simplify right side
    423.05x = 234,404.42
  5. Step 5: Solve for x
    x = 234,404.42/423.05
  6. Step 6: Final answer
    x = 554.08

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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.