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Finding the Fourth Proportional to 309.96, 461.43 and 305.64

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Solution

The fourth proportional to 309.96, 461.43 and 305.64 is: 455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 461.43 = 305.64 : x
  2. Step 2: Convert to fraction form
    309.96/461.43 = 305.64/x
  3. Step 3: Cross multiply
    309.96x = 461.43 × 305.64
  4. Step 4: Simplify right side
    309.96x = 141,031.47
  5. Step 5: Solve for x
    x = 141,031.47/309.96
  6. Step 6: Final answer
    x = 455.00

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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.