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Finding the Fourth Proportional to 473.66, 653.49 and 334.14

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Solution

The fourth proportional to 473.66, 653.49 and 334.14 is: 461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.66 : 653.49 = 334.14 : x
  2. Step 2: Convert to fraction form
    473.66/653.49 = 334.14/x
  3. Step 3: Cross multiply
    473.66x = 653.49 × 334.14
  4. Step 4: Simplify right side
    473.66x = 218,357.15
  5. Step 5: Solve for x
    x = 218,357.15/473.66
  6. Step 6: Final answer
    x = 461.00

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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.