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Finding the Fourth Proportional to 619.95, 929.12 and 464.65

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Solution

The fourth proportional to 619.95, 929.12 and 464.65 is: 696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.95 : 929.12 = 464.65 : x
  2. Step 2: Convert to fraction form
    619.95/929.12 = 464.65/x
  3. Step 3: Cross multiply
    619.95x = 929.12 × 464.65
  4. Step 4: Simplify right side
    619.95x = 431,715.61
  5. Step 5: Solve for x
    x = 431,715.61/619.95
  6. Step 6: Final answer
    x = 696.37

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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.