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Finding the Fourth Proportional to 423.84, 636.64 and 369.60

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Solution

The fourth proportional to 423.84, 636.64 and 369.60 is: 555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.84 : 636.64 = 369.60 : x
  2. Step 2: Convert to fraction form
    423.84/636.64 = 369.60/x
  3. Step 3: Cross multiply
    423.84x = 636.64 × 369.60
  4. Step 4: Simplify right side
    423.84x = 235,302.14
  5. Step 5: Solve for x
    x = 235,302.14/423.84
  6. Step 6: Final answer
    x = 555.17

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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.