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Finding the Fourth Proportional to 630.50, 869.54 and 409.23

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Solution

The fourth proportional to 630.50, 869.54 and 409.23 is: 564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.50 : 869.54 = 409.23 : x
  2. Step 2: Convert to fraction form
    630.50/869.54 = 409.23/x
  3. Step 3: Cross multiply
    630.50x = 869.54 × 409.23
  4. Step 4: Simplify right side
    630.50x = 355,839.81
  5. Step 5: Solve for x
    x = 355,839.81/630.50
  6. Step 6: Final answer
    x = 564.38

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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.