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Finding the Fourth Proportional to 315.87, 435.74 and 245.80

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Solution

The fourth proportional to 315.87, 435.74 and 245.80 is: 339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.87 : 435.74 = 245.80 : x
  2. Step 2: Convert to fraction form
    315.87/435.74 = 245.80/x
  3. Step 3: Cross multiply
    315.87x = 435.74 × 245.80
  4. Step 4: Simplify right side
    315.87x = 107,104.89
  5. Step 5: Solve for x
    x = 107,104.89/315.87
  6. Step 6: Final answer
    x = 339.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.