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Finding the Fourth Proportional to 648.63, 895.09 and 368.86

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Solution

The fourth proportional to 648.63, 895.09 and 368.86 is: 509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.63 : 895.09 = 368.86 : x
  2. Step 2: Convert to fraction form
    648.63/895.09 = 368.86/x
  3. Step 3: Cross multiply
    648.63x = 895.09 × 368.86
  4. Step 4: Simplify right side
    648.63x = 330,162.90
  5. Step 5: Solve for x
    x = 330,162.90/648.63
  6. Step 6: Final answer
    x = 509.02

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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.