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Finding the Fourth Proportional to 657.36, 985.84 and 292.46

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Solution

The fourth proportional to 657.36, 985.84 and 292.46 is: 438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.36 : 985.84 = 292.46 : x
  2. Step 2: Convert to fraction form
    657.36/985.84 = 292.46/x
  3. Step 3: Cross multiply
    657.36x = 985.84 × 292.46
  4. Step 4: Simplify right side
    657.36x = 288,313.11
  5. Step 5: Solve for x
    x = 288,313.11/657.36
  6. Step 6: Final answer
    x = 438.59

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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.