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Finding the Fourth Proportional to 895.21, 1,342.89 and 245.94

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Solution

The fourth proportional to 895.21, 1,342.89 and 245.94 is: 368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.21 : 1,342.89 = 245.94 : x
  2. Step 2: Convert to fraction form
    895.21/1,342.89 = 245.94/x
  3. Step 3: Cross multiply
    895.21x = 1,342.89 × 245.94
  4. Step 4: Simplify right side
    895.21x = 330,269.14
  5. Step 5: Solve for x
    x = 330,269.14/895.21
  6. Step 6: Final answer
    x = 368.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.