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Finding the Fourth Proportional to 385.28, 530.52 and 384.08

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Solution

The fourth proportional to 385.28, 530.52 and 384.08 is: 528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.28 : 530.52 = 384.08 : x
  2. Step 2: Convert to fraction form
    385.28/530.52 = 384.08/x
  3. Step 3: Cross multiply
    385.28x = 530.52 × 384.08
  4. Step 4: Simplify right side
    385.28x = 203,762.12
  5. Step 5: Solve for x
    x = 203,762.12/385.28
  6. Step 6: Final answer
    x = 528.87

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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.