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Finding the Fourth Proportional to 648.71, 895.25 and 354.00

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Solution

The fourth proportional to 648.71, 895.25 and 354.00 is: 488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.71 : 895.25 = 354.00 : x
  2. Step 2: Convert to fraction form
    648.71/895.25 = 354.00/x
  3. Step 3: Cross multiply
    648.71x = 895.25 × 354.00
  4. Step 4: Simplify right side
    648.71x = 316,914.02
  5. Step 5: Solve for x
    x = 316,914.02/648.71
  6. Step 6: Final answer
    x = 488.53

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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.