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Finding the Fourth Proportional to 473.12, 653.01 and 298.70

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Solution

The fourth proportional to 473.12, 653.01 and 298.70 is: 412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.12 : 653.01 = 298.70 : x
  2. Step 2: Convert to fraction form
    473.12/653.01 = 298.70/x
  3. Step 3: Cross multiply
    473.12x = 653.01 × 298.70
  4. Step 4: Simplify right side
    473.12x = 195,054.09
  5. Step 5: Solve for x
    x = 195,054.09/473.12
  6. Step 6: Final answer
    x = 412.27

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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.