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Finding the Fourth Proportional to 549.94, 758.56 and 384.09

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Solution

The fourth proportional to 549.94, 758.56 and 384.09 is: 529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.94 : 758.56 = 384.09 : x
  2. Step 2: Convert to fraction form
    549.94/758.56 = 384.09/x
  3. Step 3: Cross multiply
    549.94x = 758.56 × 384.09
  4. Step 4: Simplify right side
    549.94x = 291,354.35
  5. Step 5: Solve for x
    x = 291,354.35/549.94
  6. Step 6: Final answer
    x = 529.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.