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Finding the Fourth Proportional to 324.59, 448.07 and 315.81

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Solution

The fourth proportional to 324.59, 448.07 and 315.81 is: 435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.59 : 448.07 = 315.81 : x
  2. Step 2: Convert to fraction form
    324.59/448.07 = 315.81/x
  3. Step 3: Cross multiply
    324.59x = 448.07 × 315.81
  4. Step 4: Simplify right side
    324.59x = 141,503.41
  5. Step 5: Solve for x
    x = 141,503.41/324.59
  6. Step 6: Final answer
    x = 435.95

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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.