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Finding the Fourth Proportional to 511, 705.20 and 304.12

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Solution

The fourth proportional to 511, 705.20 and 304.12 is: 419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511 : 705.20 = 304.12 : x
  2. Step 2: Convert to fraction form
    511/705.20 = 304.12/x
  3. Step 3: Cross multiply
    511x = 705.20 × 304.12
  4. Step 4: Simplify right side
    511x = 214,465.42
  5. Step 5: Solve for x
    x = 214,465.42/511
  6. Step 6: Final answer
    x = 419.70

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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.