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Finding the Fourth Proportional to 504.46, 757.89 and 322.21

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Solution

The fourth proportional to 504.46, 757.89 and 322.21 is: 484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.46 : 757.89 = 322.21 : x
  2. Step 2: Convert to fraction form
    504.46/757.89 = 322.21/x
  3. Step 3: Cross multiply
    504.46x = 757.89 × 322.21
  4. Step 4: Simplify right side
    504.46x = 244,199.74
  5. Step 5: Solve for x
    x = 244,199.74/504.46
  6. Step 6: Final answer
    x = 484.08

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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.