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Finding the Fourth Proportional to 309.80, 424.93 and 309.80

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Solution

The fourth proportional to 309.80, 424.93 and 309.80 is: 424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.80 : 424.93 = 309.80 : x
  2. Step 2: Convert to fraction form
    309.80/424.93 = 309.80/x
  3. Step 3: Cross multiply
    309.80x = 424.93 × 309.80
  4. Step 4: Simplify right side
    309.80x = 131,643.31
  5. Step 5: Solve for x
    x = 131,643.31/309.80
  6. Step 6: Final answer
    x = 424.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.