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Finding the Fourth Proportional to 561.67, 841.33 and 446.29

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Solution

The fourth proportional to 561.67, 841.33 and 446.29 is: 668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.67 : 841.33 = 446.29 : x
  2. Step 2: Convert to fraction form
    561.67/841.33 = 446.29/x
  3. Step 3: Cross multiply
    561.67x = 841.33 × 446.29
  4. Step 4: Simplify right side
    561.67x = 375,477.17
  5. Step 5: Solve for x
    x = 375,477.17/561.67
  6. Step 6: Final answer
    x = 668.50

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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.