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Finding the Fourth Proportional to 429.84, 645.30 and 293.22

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Solution

The fourth proportional to 429.84, 645.30 and 293.22 is: 440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.84 : 645.30 = 293.22 : x
  2. Step 2: Convert to fraction form
    429.84/645.30 = 293.22/x
  3. Step 3: Cross multiply
    429.84x = 645.30 × 293.22
  4. Step 4: Simplify right side
    429.84x = 189,214.87
  5. Step 5: Solve for x
    x = 189,214.87/429.84
  6. Step 6: Final answer
    x = 440.20

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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.