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Finding the Fourth Proportional to 549.89, 758.82 and 313.88

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Solution

The fourth proportional to 549.89, 758.82 and 313.88 is: 433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.89 : 758.82 = 313.88 : x
  2. Step 2: Convert to fraction form
    549.89/758.82 = 313.88/x
  3. Step 3: Cross multiply
    549.89x = 758.82 × 313.88
  4. Step 4: Simplify right side
    549.89x = 238,174.63
  5. Step 5: Solve for x
    x = 238,174.63/549.89
  6. Step 6: Final answer
    x = 433.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.