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Finding the Fourth Proportional to 657.66, 906.84 and 471

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Solution

The fourth proportional to 657.66, 906.84 and 471 is: 649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.66 : 906.84 = 471 : x
  2. Step 2: Convert to fraction form
    657.66/906.84 = 471/x
  3. Step 3: Cross multiply
    657.66x = 906.84 × 471
  4. Step 4: Simplify right side
    657.66x = 427,121.64
  5. Step 5: Solve for x
    x = 427,121.64/657.66
  6. Step 6: Final answer
    x = 649.46

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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.