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Finding the Fourth Proportional to 535.55, 800.02 and 388.13

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Solution

The fourth proportional to 535.55, 800.02 and 388.13 is: 579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.55 : 800.02 = 388.13 : x
  2. Step 2: Convert to fraction form
    535.55/800.02 = 388.13/x
  3. Step 3: Cross multiply
    535.55x = 800.02 × 388.13
  4. Step 4: Simplify right side
    535.55x = 310,511.76
  5. Step 5: Solve for x
    x = 310,511.76/535.55
  6. Step 6: Final answer
    x = 579.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.