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Finding the Fourth Proportional to 415.02, 573.28 and 356.60

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Solution

The fourth proportional to 415.02, 573.28 and 356.60 is: 492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.02 : 573.28 = 356.60 : x
  2. Step 2: Convert to fraction form
    415.02/573.28 = 356.60/x
  3. Step 3: Cross multiply
    415.02x = 573.28 × 356.60
  4. Step 4: Simplify right side
    415.02x = 204,432.19
  5. Step 5: Solve for x
    x = 204,432.19/415.02
  6. Step 6: Final answer
    x = 492.58

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Why These Related Problems?

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