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Finding the Fourth Proportional to 473.88, 653.88 and 287.46

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Solution

The fourth proportional to 473.88, 653.88 and 287.46 is: 396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.88 : 653.88 = 287.46 : x
  2. Step 2: Convert to fraction form
    473.88/653.88 = 287.46/x
  3. Step 3: Cross multiply
    473.88x = 653.88 × 287.46
  4. Step 4: Simplify right side
    473.88x = 187,964.34
  5. Step 5: Solve for x
    x = 187,964.34/473.88
  6. Step 6: Final answer
    x = 396.65

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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.