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Finding the Fourth Proportional to 505.24, 697.35 and 306.13

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Solution

The fourth proportional to 505.24, 697.35 and 306.13 is: 422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.24 : 697.35 = 306.13 : x
  2. Step 2: Convert to fraction form
    505.24/697.35 = 306.13/x
  3. Step 3: Cross multiply
    505.24x = 697.35 × 306.13
  4. Step 4: Simplify right side
    505.24x = 213,479.76
  5. Step 5: Solve for x
    x = 213,479.76/505.24
  6. Step 6: Final answer
    x = 422.53

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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.