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Finding the Fourth Proportional to 511.86, 705.34 and 364.08

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Solution

The fourth proportional to 511.86, 705.34 and 364.08 is: 501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.86 : 705.34 = 364.08 : x
  2. Step 2: Convert to fraction form
    511.86/705.34 = 364.08/x
  3. Step 3: Cross multiply
    511.86x = 705.34 × 364.08
  4. Step 4: Simplify right side
    511.86x = 256,800.19
  5. Step 5: Solve for x
    x = 256,800.19/511.86
  6. Step 6: Final answer
    x = 501.70

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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.