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Finding the Fourth Proportional to 287.60, 428.63 and 287.14

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Solution

The fourth proportional to 287.60, 428.63 and 287.14 is: 427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.60 : 428.63 = 287.14 : x
  2. Step 2: Convert to fraction form
    287.60/428.63 = 287.14/x
  3. Step 3: Cross multiply
    287.60x = 428.63 × 287.14
  4. Step 4: Simplify right side
    287.60x = 123,074.31
  5. Step 5: Solve for x
    x = 123,074.31/287.60
  6. Step 6: Final answer
    x = 427.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.