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Finding the Fourth Proportional to 464.04, 695.97 and 299.25

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Solution

The fourth proportional to 464.04, 695.97 and 299.25 is: 448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.04 : 695.97 = 299.25 : x
  2. Step 2: Convert to fraction form
    464.04/695.97 = 299.25/x
  3. Step 3: Cross multiply
    464.04x = 695.97 × 299.25
  4. Step 4: Simplify right side
    464.04x = 208,269.02
  5. Step 5: Solve for x
    x = 208,269.02/464.04
  6. Step 6: Final answer
    x = 448.82

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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.