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Finding the Fourth Proportional to 540.27, 744.80 and 384.75

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Solution

The fourth proportional to 540.27, 744.80 and 384.75 is: 530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.27 : 744.80 = 384.75 : x
  2. Step 2: Convert to fraction form
    540.27/744.80 = 384.75/x
  3. Step 3: Cross multiply
    540.27x = 744.80 × 384.75
  4. Step 4: Simplify right side
    540.27x = 286,559.88
  5. Step 5: Solve for x
    x = 286,559.88/540.27
  6. Step 6: Final answer
    x = 530.40

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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.