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Finding the Fourth Proportional to 648.19, 976.08 and 466.85

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Solution

The fourth proportional to 648.19, 976.08 and 466.85 is: 703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.19 : 976.08 = 466.85 : x
  2. Step 2: Convert to fraction form
    648.19/976.08 = 466.85/x
  3. Step 3: Cross multiply
    648.19x = 976.08 × 466.85
  4. Step 4: Simplify right side
    648.19x = 455,682.95
  5. Step 5: Solve for x
    x = 455,682.95/648.19
  6. Step 6: Final answer
    x = 703.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.