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Finding the Fourth Proportional to 464.08, 696.08 and 302.88

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Solution

The fourth proportional to 464.08, 696.08 and 302.88 is: 454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.08 : 696.08 = 302.88 : x
  2. Step 2: Convert to fraction form
    464.08/696.08 = 302.88/x
  3. Step 3: Cross multiply
    464.08x = 696.08 × 302.88
  4. Step 4: Simplify right side
    464.08x = 210,828.71
  5. Step 5: Solve for x
    x = 210,828.71/464.08
  6. Step 6: Final answer
    x = 454.29

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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.