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Finding the Fourth Proportional to 467.19, 699.99 and 423.65

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Solution

The fourth proportional to 467.19, 699.99 and 423.65 is: 634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.19 : 699.99 = 423.65 : x
  2. Step 2: Convert to fraction form
    467.19/699.99 = 423.65/x
  3. Step 3: Cross multiply
    467.19x = 699.99 × 423.65
  4. Step 4: Simplify right side
    467.19x = 296,547.26
  5. Step 5: Solve for x
    x = 296,547.26/467.19
  6. Step 6: Final answer
    x = 634.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.