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Finding the Fourth Proportional to 420, 628.00 and 383.24

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Solution

The fourth proportional to 420, 628.00 and 383.24 is: 573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 628.00 = 383.24 : x
  2. Step 2: Convert to fraction form
    420/628.00 = 383.24/x
  3. Step 3: Cross multiply
    420x = 628.00 × 383.24
  4. Step 4: Simplify right side
    420x = 240,672.80
  5. Step 5: Solve for x
    x = 240,672.80/420
  6. Step 6: Final answer
    x = 573.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.