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Finding the Fourth Proportional to 895.33, 1,343 and 318.25

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Solution

The fourth proportional to 895.33, 1,343 and 318.25 is: 477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.33 : 1,343 = 318.25 : x
  2. Step 2: Convert to fraction form
    895.33/1,343 = 318.25/x
  3. Step 3: Cross multiply
    895.33x = 1,343 × 318.25
  4. Step 4: Simplify right side
    895.33x = 427,409.75
  5. Step 5: Solve for x
    x = 427,409.75/895.33
  6. Step 6: Final answer
    x = 477.38

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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.