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Finding the Fourth Proportional to 415.95, 624.23 and 285.63

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Solution

The fourth proportional to 415.95, 624.23 and 285.63 is: 428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.95 : 624.23 = 285.63 : x
  2. Step 2: Convert to fraction form
    415.95/624.23 = 285.63/x
  3. Step 3: Cross multiply
    415.95x = 624.23 × 285.63
  4. Step 4: Simplify right side
    415.95x = 178,298.81
  5. Step 5: Solve for x
    x = 178,298.81/415.95
  6. Step 6: Final answer
    x = 428.65

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Why These Related Problems?

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