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Finding the Fourth Proportional to 657.17, 906.75 and 377.45

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Solution

The fourth proportional to 657.17, 906.75 and 377.45 is: 520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.17 : 906.75 = 377.45 : x
  2. Step 2: Convert to fraction form
    657.17/906.75 = 377.45/x
  3. Step 3: Cross multiply
    657.17x = 906.75 × 377.45
  4. Step 4: Simplify right side
    657.17x = 342,252.79
  5. Step 5: Solve for x
    x = 342,252.79/657.17
  6. Step 6: Final answer
    x = 520.80

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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.