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Finding the Fourth Proportional to 512, 705.84 and 364.98

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Solution

The fourth proportional to 512, 705.84 and 364.98 is: 503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512 : 705.84 = 364.98 : x
  2. Step 2: Convert to fraction form
    512/705.84 = 364.98/x
  3. Step 3: Cross multiply
    512x = 705.84 × 364.98
  4. Step 4: Simplify right side
    512x = 257,617.48
  5. Step 5: Solve for x
    x = 257,617.48/512
  6. Step 6: Final answer
    x = 503.16

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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.