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Finding the Fourth Proportional to 388.08, 535.76 and 263.76

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Solution

The fourth proportional to 388.08, 535.76 and 263.76 is: 364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.08 : 535.76 = 263.76 : x
  2. Step 2: Convert to fraction form
    388.08/535.76 = 263.76/x
  3. Step 3: Cross multiply
    388.08x = 535.76 × 263.76
  4. Step 4: Simplify right side
    388.08x = 141,312.06
  5. Step 5: Solve for x
    x = 141,312.06/388.08
  6. Step 6: Final answer
    x = 364.13

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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.