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Finding the Fourth Proportional to 506, 698.20 and 309.52

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Solution

The fourth proportional to 506, 698.20 and 309.52 is: 427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 698.20 = 309.52 : x
  2. Step 2: Convert to fraction form
    506/698.20 = 309.52/x
  3. Step 3: Cross multiply
    506x = 698.20 × 309.52
  4. Step 4: Simplify right side
    506x = 216,106.86
  5. Step 5: Solve for x
    x = 216,106.86/506
  6. Step 6: Final answer
    x = 427.09

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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.