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Finding the Fourth Proportional to 473.45, 653.16 and 296.36

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Solution

The fourth proportional to 473.45, 653.16 and 296.36 is: 408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.45 : 653.16 = 296.36 : x
  2. Step 2: Convert to fraction form
    473.45/653.16 = 296.36/x
  3. Step 3: Cross multiply
    473.45x = 653.16 × 296.36
  4. Step 4: Simplify right side
    473.45x = 193,570.79
  5. Step 5: Solve for x
    x = 193,570.79/473.45
  6. Step 6: Final answer
    x = 408.86

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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.