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Finding the Fourth Proportional to 657.88, 986.88 and 292.72

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Solution

The fourth proportional to 657.88, 986.88 and 292.72 is: 439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.88 : 986.88 = 292.72 : x
  2. Step 2: Convert to fraction form
    657.88/986.88 = 292.72/x
  3. Step 3: Cross multiply
    657.88x = 986.88 × 292.72
  4. Step 4: Simplify right side
    657.88x = 288,879.51
  5. Step 5: Solve for x
    x = 288,879.51/657.88
  6. Step 6: Final answer
    x = 439.11

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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.