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Finding the Fourth Proportional to 477.68, 714.89 and 285.44

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Solution

The fourth proportional to 477.68, 714.89 and 285.44 is: 427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.68 : 714.89 = 285.44 : x
  2. Step 2: Convert to fraction form
    477.68/714.89 = 285.44/x
  3. Step 3: Cross multiply
    477.68x = 714.89 × 285.44
  4. Step 4: Simplify right side
    477.68x = 204,055.34
  5. Step 5: Solve for x
    x = 204,055.34/477.68
  6. Step 6: Final answer
    x = 427.18

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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.