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Finding the Fourth Proportional to 657.94, 985.70 and 474.46

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Solution

The fourth proportional to 657.94, 985.70 and 474.46 is: 710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.94 : 985.70 = 474.46 : x
  2. Step 2: Convert to fraction form
    657.94/985.70 = 474.46/x
  3. Step 3: Cross multiply
    657.94x = 985.70 × 474.46
  4. Step 4: Simplify right side
    657.94x = 467,675.22
  5. Step 5: Solve for x
    x = 467,675.22/657.94
  6. Step 6: Final answer
    x = 710.82

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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.