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Finding the Fourth Proportional to 295.96, 441.65 and 281.38

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Solution

The fourth proportional to 295.96, 441.65 and 281.38 is: 419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.96 : 441.65 = 281.38 : x
  2. Step 2: Convert to fraction form
    295.96/441.65 = 281.38/x
  3. Step 3: Cross multiply
    295.96x = 441.65 × 281.38
  4. Step 4: Simplify right side
    295.96x = 124,271.48
  5. Step 5: Solve for x
    x = 124,271.48/295.96
  6. Step 6: Final answer
    x = 419.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.