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Finding the Fourth Proportional to 549.92, 824.88 and 208.16

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Solution

The fourth proportional to 549.92, 824.88 and 208.16 is: 312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.92 : 824.88 = 208.16 : x
  2. Step 2: Convert to fraction form
    549.92/824.88 = 208.16/x
  3. Step 3: Cross multiply
    549.92x = 824.88 × 208.16
  4. Step 4: Simplify right side
    549.92x = 171,707.02
  5. Step 5: Solve for x
    x = 171,707.02/549.92
  6. Step 6: Final answer
    x = 312.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.