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Finding the Fourth Proportional to 549.83, 758.55 and 313.76

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Solution

The fourth proportional to 549.83, 758.55 and 313.76 is: 432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.83 : 758.55 = 313.76 : x
  2. Step 2: Convert to fraction form
    549.83/758.55 = 313.76/x
  3. Step 3: Cross multiply
    549.83x = 758.55 × 313.76
  4. Step 4: Simplify right side
    549.83x = 237,998.86
  5. Step 5: Solve for x
    x = 237,998.86/549.83
  6. Step 6: Final answer
    x = 432.86

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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.