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Finding the Fourth Proportional to 505.34, 697.09 and 306.04

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Solution

The fourth proportional to 505.34, 697.09 and 306.04 is: 422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.34 : 697.09 = 306.04 : x
  2. Step 2: Convert to fraction form
    505.34/697.09 = 306.04/x
  3. Step 3: Cross multiply
    505.34x = 697.09 × 306.04
  4. Step 4: Simplify right side
    505.34x = 213,337.42
  5. Step 5: Solve for x
    x = 213,337.42/505.34
  6. Step 6: Final answer
    x = 422.17

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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.