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Finding the Fourth Proportional to 464.12, 695.73 and 377.63

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Solution

The fourth proportional to 464.12, 695.73 and 377.63 is: 566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.12 : 695.73 = 377.63 : x
  2. Step 2: Convert to fraction form
    464.12/695.73 = 377.63/x
  3. Step 3: Cross multiply
    464.12x = 695.73 × 377.63
  4. Step 4: Simplify right side
    464.12x = 262,728.52
  5. Step 5: Solve for x
    x = 262,728.52/464.12
  6. Step 6: Final answer
    x = 566.08

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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.