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Finding the Fourth Proportional to 415.30, 580.70 and 415.30

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Solution

The fourth proportional to 415.30, 580.70 and 415.30 is: 580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.30 : 580.70 = 415.30 : x
  2. Step 2: Convert to fraction form
    415.30/580.70 = 415.30/x
  3. Step 3: Cross multiply
    415.30x = 580.70 × 415.30
  4. Step 4: Simplify right side
    415.30x = 241,164.71
  5. Step 5: Solve for x
    x = 241,164.71/415.30
  6. Step 6: Final answer
    x = 580.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.