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Finding the Fourth Proportional to 506.14, 698.75 and 307.01

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Solution

The fourth proportional to 506.14, 698.75 and 307.01 is: 423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.14 : 698.75 = 307.01 : x
  2. Step 2: Convert to fraction form
    506.14/698.75 = 307.01/x
  3. Step 3: Cross multiply
    506.14x = 698.75 × 307.01
  4. Step 4: Simplify right side
    506.14x = 214,518.21
  5. Step 5: Solve for x
    x = 214,518.21/506.14
  6. Step 6: Final answer
    x = 423.83

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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.