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Finding the Fourth Proportional to 648.42, 895.04 and 382.86

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Solution

The fourth proportional to 648.42, 895.04 and 382.86 is: 528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.42 : 895.04 = 382.86 : x
  2. Step 2: Convert to fraction form
    648.42/895.04 = 382.86/x
  3. Step 3: Cross multiply
    648.42x = 895.04 × 382.86
  4. Step 4: Simplify right side
    648.42x = 342,673.10
  5. Step 5: Solve for x
    x = 342,673.10/648.42
  6. Step 6: Final answer
    x = 528.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.