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Finding the Fourth Proportional to 423.58, 584.55 and 237.08

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Solution

The fourth proportional to 423.58, 584.55 and 237.08 is: 327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.58 : 584.55 = 237.08 : x
  2. Step 2: Convert to fraction form
    423.58/584.55 = 237.08/x
  3. Step 3: Cross multiply
    423.58x = 584.55 × 237.08
  4. Step 4: Simplify right side
    423.58x = 138,585.11
  5. Step 5: Solve for x
    x = 138,585.11/423.58
  6. Step 6: Final answer
    x = 327.18

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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.