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Finding the Fourth Proportional to 948.95, 1,423.41 and 290.82

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Solution

The fourth proportional to 948.95, 1,423.41 and 290.82 is: 436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.95 : 1,423.41 = 290.82 : x
  2. Step 2: Convert to fraction form
    948.95/1,423.41 = 290.82/x
  3. Step 3: Cross multiply
    948.95x = 1,423.41 × 290.82
  4. Step 4: Simplify right side
    948.95x = 413,956.10
  5. Step 5: Solve for x
    x = 413,956.10/948.95
  6. Step 6: Final answer
    x = 436.23

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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.