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Finding the Fourth Proportional to 511.52, 705.60 and 418.32

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Solution

The fourth proportional to 511.52, 705.60 and 418.32 is: 577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.52 : 705.60 = 418.32 : x
  2. Step 2: Convert to fraction form
    511.52/705.60 = 418.32/x
  3. Step 3: Cross multiply
    511.52x = 705.60 × 418.32
  4. Step 4: Simplify right side
    511.52x = 295,166.59
  5. Step 5: Solve for x
    x = 295,166.59/511.52
  6. Step 6: Final answer
    x = 577.04

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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.