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Finding the Fourth Proportional to 549.36, 756.63 and 465.96

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Solution

The fourth proportional to 549.36, 756.63 and 465.96 is: 641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.36 : 756.63 = 465.96 : x
  2. Step 2: Convert to fraction form
    549.36/756.63 = 465.96/x
  3. Step 3: Cross multiply
    549.36x = 756.63 × 465.96
  4. Step 4: Simplify right side
    549.36x = 352,559.31
  5. Step 5: Solve for x
    x = 352,559.31/549.36
  6. Step 6: Final answer
    x = 641.76

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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.