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Finding the Fourth Proportional to 473.51, 653.29 and 286.94

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Solution

The fourth proportional to 473.51, 653.29 and 286.94 is: 395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.51 : 653.29 = 286.94 : x
  2. Step 2: Convert to fraction form
    473.51/653.29 = 286.94/x
  3. Step 3: Cross multiply
    473.51x = 653.29 × 286.94
  4. Step 4: Simplify right side
    473.51x = 187,455.03
  5. Step 5: Solve for x
    x = 187,455.03/473.51
  6. Step 6: Final answer
    x = 395.88

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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.