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Finding the Fourth Proportional to 380.08, 524.33 and 275.00

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Solution

The fourth proportional to 380.08, 524.33 and 275.00 is: 379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.08 : 524.33 = 275.00 : x
  2. Step 2: Convert to fraction form
    380.08/524.33 = 275.00/x
  3. Step 3: Cross multiply
    380.08x = 524.33 × 275.00
  4. Step 4: Simplify right side
    380.08x = 144,186.75
  5. Step 5: Solve for x
    x = 144,186.75/380.08
  6. Step 6: Final answer
    x = 379.36

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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.