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Finding the Fourth Proportional to 423.72, 583.32 and 368.24

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Solution

The fourth proportional to 423.72, 583.32 and 368.24 is: 506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.72 : 583.32 = 368.24 : x
  2. Step 2: Convert to fraction form
    423.72/583.32 = 368.24/x
  3. Step 3: Cross multiply
    423.72x = 583.32 × 368.24
  4. Step 4: Simplify right side
    423.72x = 214,801.76
  5. Step 5: Solve for x
    x = 214,801.76/423.72
  6. Step 6: Final answer
    x = 506.94

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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.