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Finding the Fourth Proportional to 511.86, 706.35 and 302.05

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Solution

The fourth proportional to 511.86, 706.35 and 302.05 is: 416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.86 : 706.35 = 302.05 : x
  2. Step 2: Convert to fraction form
    511.86/706.35 = 302.05/x
  3. Step 3: Cross multiply
    511.86x = 706.35 × 302.05
  4. Step 4: Simplify right side
    511.86x = 213,353.02
  5. Step 5: Solve for x
    x = 213,353.02/511.86
  6. Step 6: Final answer
    x = 416.82

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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.