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Finding the Fourth Proportional to 285.89, 428.46 and 277.58

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Solution

The fourth proportional to 285.89, 428.46 and 277.58 is: 416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.89 : 428.46 = 277.58 : x
  2. Step 2: Convert to fraction form
    285.89/428.46 = 277.58/x
  3. Step 3: Cross multiply
    285.89x = 428.46 × 277.58
  4. Step 4: Simplify right side
    285.89x = 118,931.93
  5. Step 5: Solve for x
    x = 118,931.93/285.89
  6. Step 6: Final answer
    x = 416.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.