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Finding the Fourth Proportional to 429.94, 645.09 and 309.16

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Solution

The fourth proportional to 429.94, 645.09 and 309.16 is: 463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.94 : 645.09 = 309.16 : x
  2. Step 2: Convert to fraction form
    429.94/645.09 = 309.16/x
  3. Step 3: Cross multiply
    429.94x = 645.09 × 309.16
  4. Step 4: Simplify right side
    429.94x = 199,436.02
  5. Step 5: Solve for x
    x = 199,436.02/429.94
  6. Step 6: Final answer
    x = 463.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.