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Finding the Fourth Proportional to 388.29, 535.77 and 295.02

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Solution

The fourth proportional to 388.29, 535.77 and 295.02 is: 407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.29 : 535.77 = 295.02 : x
  2. Step 2: Convert to fraction form
    388.29/535.77 = 295.02/x
  3. Step 3: Cross multiply
    388.29x = 535.77 × 295.02
  4. Step 4: Simplify right side
    388.29x = 158,062.87
  5. Step 5: Solve for x
    x = 158,062.87/388.29
  6. Step 6: Final answer
    x = 407.07

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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.