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Finding the Fourth Proportional to 895.36, 1,342.32 and 382

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Solution

The fourth proportional to 895.36, 1,342.32 and 382 is: 572.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.36 : 1,342.32 = 382 : x
  2. Step 2: Convert to fraction form
    895.36/1,342.32 = 382/x
  3. Step 3: Cross multiply
    895.36x = 1,342.32 × 382
  4. Step 4: Simplify right side
    895.36x = 512,766.24
  5. Step 5: Solve for x
    x = 512,766.24/895.36
  6. Step 6: Final answer
    x = 572.69

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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.