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Finding the Fourth Proportional to 512.10, 706.86 and 364.77

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Solution

The fourth proportional to 512.10, 706.86 and 364.77 is: 503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.10 : 706.86 = 364.77 : x
  2. Step 2: Convert to fraction form
    512.10/706.86 = 364.77/x
  3. Step 3: Cross multiply
    512.10x = 706.86 × 364.77
  4. Step 4: Simplify right side
    512.10x = 257,841.32
  5. Step 5: Solve for x
    x = 257,841.32/512.10
  6. Step 6: Final answer
    x = 503.50

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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.