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Finding the Fourth Proportional to 650.03, 896.98 and 366.47

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Solution

The fourth proportional to 650.03, 896.98 and 366.47 is: 505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.03 : 896.98 = 366.47 : x
  2. Step 2: Convert to fraction form
    650.03/896.98 = 366.47/x
  3. Step 3: Cross multiply
    650.03x = 896.98 × 366.47
  4. Step 4: Simplify right side
    650.03x = 328,714.43
  5. Step 5: Solve for x
    x = 328,714.43/650.03
  6. Step 6: Final answer
    x = 505.70

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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.