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Finding the Fourth Proportional to 648.75, 895.23 and 354.02

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Solution

The fourth proportional to 648.75, 895.23 and 354.02 is: 488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.75 : 895.23 = 354.02 : x
  2. Step 2: Convert to fraction form
    648.75/895.23 = 354.02/x
  3. Step 3: Cross multiply
    648.75x = 895.23 × 354.02
  4. Step 4: Simplify right side
    648.75x = 316,929.32
  5. Step 5: Solve for x
    x = 316,929.32/648.75
  6. Step 6: Final answer
    x = 488.52

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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.