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Finding the Fourth Proportional to 473.93, 653.99 and 264.08

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Solution

The fourth proportional to 473.93, 653.99 and 264.08 is: 364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.93 : 653.99 = 264.08 : x
  2. Step 2: Convert to fraction form
    473.93/653.99 = 264.08/x
  3. Step 3: Cross multiply
    473.93x = 653.99 × 264.08
  4. Step 4: Simplify right side
    473.93x = 172,705.68
  5. Step 5: Solve for x
    x = 172,705.68/473.93
  6. Step 6: Final answer
    x = 364.42

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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.