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Finding the Fourth Proportional to 423.04, 584.32 and 364.80

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Solution

The fourth proportional to 423.04, 584.32 and 364.80 is: 503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.04 : 584.32 = 364.80 : x
  2. Step 2: Convert to fraction form
    423.04/584.32 = 364.80/x
  3. Step 3: Cross multiply
    423.04x = 584.32 × 364.80
  4. Step 4: Simplify right side
    423.04x = 213,159.94
  5. Step 5: Solve for x
    x = 213,159.94/423.04
  6. Step 6: Final answer
    x = 503.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.