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Finding the Fourth Proportional to 652.12, 976.26 and 394.84

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Solution

The fourth proportional to 652.12, 976.26 and 394.84 is: 591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.12 : 976.26 = 394.84 : x
  2. Step 2: Convert to fraction form
    652.12/976.26 = 394.84/x
  3. Step 3: Cross multiply
    652.12x = 976.26 × 394.84
  4. Step 4: Simplify right side
    652.12x = 385,466.50
  5. Step 5: Solve for x
    x = 385,466.50/652.12
  6. Step 6: Final answer
    x = 591.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.