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Finding the Fourth Proportional to 561.66, 840.89 and 446.27

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Solution

The fourth proportional to 561.66, 840.89 and 446.27 is: 668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.66 : 840.89 = 446.27 : x
  2. Step 2: Convert to fraction form
    561.66/840.89 = 446.27/x
  3. Step 3: Cross multiply
    561.66x = 840.89 × 446.27
  4. Step 4: Simplify right side
    561.66x = 375,263.98
  5. Step 5: Solve for x
    x = 375,263.98/561.66
  6. Step 6: Final answer
    x = 668.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.