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Finding the Fourth Proportional to 464.04, 695.07 and 301.86

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Solution

The fourth proportional to 464.04, 695.07 and 301.86 is: 452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.04 : 695.07 = 301.86 : x
  2. Step 2: Convert to fraction form
    464.04/695.07 = 301.86/x
  3. Step 3: Cross multiply
    464.04x = 695.07 × 301.86
  4. Step 4: Simplify right side
    464.04x = 209,813.83
  5. Step 5: Solve for x
    x = 209,813.83/464.04
  6. Step 6: Final answer
    x = 452.15

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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.