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Finding the Fourth Proportional to 473.15, 653.09 and 316.01

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Solution

The fourth proportional to 473.15, 653.09 and 316.01 is: 436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.15 : 653.09 = 316.01 : x
  2. Step 2: Convert to fraction form
    473.15/653.09 = 316.01/x
  3. Step 3: Cross multiply
    473.15x = 653.09 × 316.01
  4. Step 4: Simplify right side
    473.15x = 206,382.97
  5. Step 5: Solve for x
    x = 206,382.97/473.15
  6. Step 6: Final answer
    x = 436.19

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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.