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Finding the Fourth Proportional to 423.16, 578.96 and 421.36

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Solution

The fourth proportional to 423.16, 578.96 and 421.36 is: 576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.16 : 578.96 = 421.36 : x
  2. Step 2: Convert to fraction form
    423.16/578.96 = 421.36/x
  3. Step 3: Cross multiply
    423.16x = 578.96 × 421.36
  4. Step 4: Simplify right side
    423.16x = 243,950.59
  5. Step 5: Solve for x
    x = 243,950.59/423.16
  6. Step 6: Final answer
    x = 576.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.