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Finding the Fourth Proportional to 648.49, 895.50 and 416.02

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Solution

The fourth proportional to 648.49, 895.50 and 416.02 is: 574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.49 : 895.50 = 416.02 : x
  2. Step 2: Convert to fraction form
    648.49/895.50 = 416.02/x
  3. Step 3: Cross multiply
    648.49x = 895.50 × 416.02
  4. Step 4: Simplify right side
    648.49x = 372,541.43
  5. Step 5: Solve for x
    x = 372,541.43/648.49
  6. Step 6: Final answer
    x = 574.48

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Why These Related Problems?

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