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Finding the Fourth Proportional to 549.84, 758.64 and 316.96

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Solution

The fourth proportional to 549.84, 758.64 and 316.96 is: 437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.84 : 758.64 = 316.96 : x
  2. Step 2: Convert to fraction form
    549.84/758.64 = 316.96/x
  3. Step 3: Cross multiply
    549.84x = 758.64 × 316.96
  4. Step 4: Simplify right side
    549.84x = 240,458.53
  5. Step 5: Solve for x
    x = 240,458.53/549.84
  6. Step 6: Final answer
    x = 437.32

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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.