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Finding the Fourth Proportional to 838.84, 1,258.48 and 291.04

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Solution

The fourth proportional to 838.84, 1,258.48 and 291.04 is: 436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.84 : 1,258.48 = 291.04 : x
  2. Step 2: Convert to fraction form
    838.84/1,258.48 = 291.04/x
  3. Step 3: Cross multiply
    838.84x = 1,258.48 × 291.04
  4. Step 4: Simplify right side
    838.84x = 366,268.02
  5. Step 5: Solve for x
    x = 366,268.02/838.84
  6. Step 6: Final answer
    x = 436.64

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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.