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Finding the Fourth Proportional to 657.48, 986.22 and 292.53

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Solution

The fourth proportional to 657.48, 986.22 and 292.53 is: 438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.48 : 986.22 = 292.53 : x
  2. Step 2: Convert to fraction form
    657.48/986.22 = 292.53/x
  3. Step 3: Cross multiply
    657.48x = 986.22 × 292.53
  4. Step 4: Simplify right side
    657.48x = 288,498.94
  5. Step 5: Solve for x
    x = 288,498.94/657.48
  6. Step 6: Final answer
    x = 438.80

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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.