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Finding the Fourth Proportional to 385.56, 530.94 and 287.14

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Solution

The fourth proportional to 385.56, 530.94 and 287.14 is: 395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.56 : 530.94 = 287.14 : x
  2. Step 2: Convert to fraction form
    385.56/530.94 = 287.14/x
  3. Step 3: Cross multiply
    385.56x = 530.94 × 287.14
  4. Step 4: Simplify right side
    385.56x = 152,454.11
  5. Step 5: Solve for x
    x = 152,454.11/385.56
  6. Step 6: Final answer
    x = 395.41

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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.