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Finding the Fourth Proportional to 448.19, 618.72 and 282.50

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Solution

The fourth proportional to 448.19, 618.72 and 282.50 is: 389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.19 : 618.72 = 282.50 : x
  2. Step 2: Convert to fraction form
    448.19/618.72 = 282.50/x
  3. Step 3: Cross multiply
    448.19x = 618.72 × 282.50
  4. Step 4: Simplify right side
    448.19x = 174,785.31
  5. Step 5: Solve for x
    x = 174,785.31/448.19
  6. Step 6: Final answer
    x = 389.98

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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.