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Finding the Fourth Proportional to 309.24, 461.00 and 303.30

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Solution

The fourth proportional to 309.24, 461.00 and 303.30 is: 452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.24 : 461.00 = 303.30 : x
  2. Step 2: Convert to fraction form
    309.24/461.00 = 303.30/x
  3. Step 3: Cross multiply
    309.24x = 461.00 × 303.30
  4. Step 4: Simplify right side
    309.24x = 139,822.06
  5. Step 5: Solve for x
    x = 139,822.06/309.24
  6. Step 6: Final answer
    x = 452.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.