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Finding the Fourth Proportional to 549.96, 758.82 and 313.92

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Solution

The fourth proportional to 549.96, 758.82 and 313.92 is: 433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.96 : 758.82 = 313.92 : x
  2. Step 2: Convert to fraction form
    549.96/758.82 = 313.92/x
  3. Step 3: Cross multiply
    549.96x = 758.82 × 313.92
  4. Step 4: Simplify right side
    549.96x = 238,208.77
  5. Step 5: Solve for x
    x = 238,208.77/549.96
  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.