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Finding the Fourth Proportional to 473.24, 653.16 and 298.46

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Solution

The fourth proportional to 473.24, 653.16 and 298.46 is: 411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.24 : 653.16 = 298.46 : x
  2. Step 2: Convert to fraction form
    473.24/653.16 = 298.46/x
  3. Step 3: Cross multiply
    473.24x = 653.16 × 298.46
  4. Step 4: Simplify right side
    473.24x = 194,942.13
  5. Step 5: Solve for x
    x = 194,942.13/473.24
  6. Step 6: Final answer
    x = 411.93

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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.