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Finding the Fourth Proportional to 549.48, 757.83 and 466.86

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Solution

The fourth proportional to 549.48, 757.83 and 466.86 is: 643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.48 : 757.83 = 466.86 : x
  2. Step 2: Convert to fraction form
    549.48/757.83 = 466.86/x
  3. Step 3: Cross multiply
    549.48x = 757.83 × 466.86
  4. Step 4: Simplify right side
    549.48x = 353,800.51
  5. Step 5: Solve for x
    x = 353,800.51/549.48
  6. Step 6: Final answer
    x = 643.88

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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.