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Finding the Fourth Proportional to 549.14, 758.02 and 384.26

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Solution

The fourth proportional to 549.14, 758.02 and 384.26 is: 530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.14 : 758.02 = 384.26 : x
  2. Step 2: Convert to fraction form
    549.14/758.02 = 384.26/x
  3. Step 3: Cross multiply
    549.14x = 758.02 × 384.26
  4. Step 4: Simplify right side
    549.14x = 291,276.77
  5. Step 5: Solve for x
    x = 291,276.77/549.14
  6. Step 6: Final answer
    x = 530.42

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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.