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Finding the Fourth Proportional to 511.74, 705.51 and 380.52

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Solution

The fourth proportional to 511.74, 705.51 and 380.52 is: 524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.74 : 705.51 = 380.52 : x
  2. Step 2: Convert to fraction form
    511.74/705.51 = 380.52/x
  3. Step 3: Cross multiply
    511.74x = 705.51 × 380.52
  4. Step 4: Simplify right side
    511.74x = 268,460.67
  5. Step 5: Solve for x
    x = 268,460.67/511.74
  6. Step 6: Final answer
    x = 524.60

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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.