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Finding the Fourth Proportional to 473.61, 653.49 and 277.09

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Solution

The fourth proportional to 473.61, 653.49 and 277.09 is: 382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.61 : 653.49 = 277.09 : x
  2. Step 2: Convert to fraction form
    473.61/653.49 = 277.09/x
  3. Step 3: Cross multiply
    473.61x = 653.49 × 277.09
  4. Step 4: Simplify right side
    473.61x = 181,070.89
  5. Step 5: Solve for x
    x = 181,070.89/473.61
  6. Step 6: Final answer
    x = 382.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.