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Finding the Fourth Proportional to 504.84, 696.82 and 321.16

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Solution

The fourth proportional to 504.84, 696.82 and 321.16 is: 443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.84 : 696.82 = 321.16 : x
  2. Step 2: Convert to fraction form
    504.84/696.82 = 321.16/x
  3. Step 3: Cross multiply
    504.84x = 696.82 × 321.16
  4. Step 4: Simplify right side
    504.84x = 223,790.71
  5. Step 5: Solve for x
    x = 223,790.71/504.84
  6. Step 6: Final answer
    x = 443.29

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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.