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Finding the Fourth Proportional to 476.19, 652.38 and 457.73

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Solution

The fourth proportional to 476.19, 652.38 and 457.73 is: 627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.19 : 652.38 = 457.73 : x
  2. Step 2: Convert to fraction form
    476.19/652.38 = 457.73/x
  3. Step 3: Cross multiply
    476.19x = 652.38 × 457.73
  4. Step 4: Simplify right side
    476.19x = 298,617.12
  5. Step 5: Solve for x
    x = 298,617.12/476.19
  6. Step 6: Final answer
    x = 627.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.