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Finding the Fourth Proportional to 415.36, 624.78 and 346.16

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Solution

The fourth proportional to 415.36, 624.78 and 346.16 is: 520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.36 : 624.78 = 346.16 : x
  2. Step 2: Convert to fraction form
    415.36/624.78 = 346.16/x
  3. Step 3: Cross multiply
    415.36x = 624.78 × 346.16
  4. Step 4: Simplify right side
    415.36x = 216,273.07
  5. Step 5: Solve for x
    x = 216,273.07/415.36
  6. Step 6: Final answer
    x = 520.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.