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Finding the Fourth Proportional to 477.75, 657.68 and 428.61

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Solution

The fourth proportional to 477.75, 657.68 and 428.61 is: 590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.75 : 657.68 = 428.61 : x
  2. Step 2: Convert to fraction form
    477.75/657.68 = 428.61/x
  3. Step 3: Cross multiply
    477.75x = 657.68 × 428.61
  4. Step 4: Simplify right side
    477.75x = 281,886.08
  5. Step 5: Solve for x
    x = 281,886.08/477.75
  6. Step 6: Final answer
    x = 590.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.