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Finding the Fourth Proportional to 377, 565.26 and 255.08

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Solution

The fourth proportional to 377, 565.26 and 255.08 is: 382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    377 : 565.26 = 255.08 : x
  2. Step 2: Convert to fraction form
    377/565.26 = 255.08/x
  3. Step 3: Cross multiply
    377x = 565.26 × 255.08
  4. Step 4: Simplify right side
    377x = 144,186.52
  5. Step 5: Solve for x
    x = 144,186.52/377
  6. Step 6: Final answer
    x = 382.46

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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.