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Finding the Fourth Proportional to 472.28, 704.62 and 420.30

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Solution

The fourth proportional to 472.28, 704.62 and 420.30 is: 627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.28 : 704.62 = 420.30 : x
  2. Step 2: Convert to fraction form
    472.28/704.62 = 420.30/x
  3. Step 3: Cross multiply
    472.28x = 704.62 × 420.30
  4. Step 4: Simplify right side
    472.28x = 296,152.31
  5. Step 5: Solve for x
    x = 296,152.31/472.28
  6. Step 6: Final answer
    x = 627.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.