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Finding the Fourth Proportional to 424.80, 628.20 and 424.80

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Solution

The fourth proportional to 424.80, 628.20 and 424.80 is: 628.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.80 : 628.20 = 424.80 : x
  2. Step 2: Convert to fraction form
    424.80/628.20 = 424.80/x
  3. Step 3: Cross multiply
    424.80x = 628.20 × 424.80
  4. Step 4: Simplify right side
    424.80x = 266,859.36
  5. Step 5: Solve for x
    x = 266,859.36/424.80
  6. Step 6: Final answer
    x = 628.20

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.