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Finding the Fourth Proportional to 464.94, 696.30 and 302.10

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Solution

The fourth proportional to 464.94, 696.30 and 302.10 is: 452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.94 : 696.30 = 302.10 : x
  2. Step 2: Convert to fraction form
    464.94/696.30 = 302.10/x
  3. Step 3: Cross multiply
    464.94x = 696.30 × 302.10
  4. Step 4: Simplify right side
    464.94x = 210,352.23
  5. Step 5: Solve for x
    x = 210,352.23/464.94
  6. Step 6: Final answer
    x = 452.43

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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.