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Finding the Fourth Proportional to 648.76, 895.31 and 354.05

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Solution

The fourth proportional to 648.76, 895.31 and 354.05 is: 488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.76 : 895.31 = 354.05 : x
  2. Step 2: Convert to fraction form
    648.76/895.31 = 354.05/x
  3. Step 3: Cross multiply
    648.76x = 895.31 × 354.05
  4. Step 4: Simplify right side
    648.76x = 316,984.51
  5. Step 5: Solve for x
    x = 316,984.51/648.76
  6. Step 6: Final answer
    x = 488.60

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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.