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Finding the Fourth Proportional to 657.02, 906.62 and 394.94

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Solution

The fourth proportional to 657.02, 906.62 and 394.94 is: 544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.02 : 906.62 = 394.94 : x
  2. Step 2: Convert to fraction form
    657.02/906.62 = 394.94/x
  3. Step 3: Cross multiply
    657.02x = 906.62 × 394.94
  4. Step 4: Simplify right side
    657.02x = 358,060.50
  5. Step 5: Solve for x
    x = 358,060.50/657.02
  6. Step 6: Final answer
    x = 544.98

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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.