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Finding the Fourth Proportional to 473.99, 653.99 and 277.47

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Solution

The fourth proportional to 473.99, 653.99 and 277.47 is: 382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.99 : 653.99 = 277.47 : x
  2. Step 2: Convert to fraction form
    473.99/653.99 = 277.47/x
  3. Step 3: Cross multiply
    473.99x = 653.99 × 277.47
  4. Step 4: Simplify right side
    473.99x = 181,461.22
  5. Step 5: Solve for x
    x = 181,461.22/473.99
  6. Step 6: Final answer
    x = 382.84

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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.