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Finding the Fourth Proportional to 415.62, 572.80 and 362.56

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Solution

The fourth proportional to 415.62, 572.80 and 362.56 is: 499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.62 : 572.80 = 362.56 : x
  2. Step 2: Convert to fraction form
    415.62/572.80 = 362.56/x
  3. Step 3: Cross multiply
    415.62x = 572.80 × 362.56
  4. Step 4: Simplify right side
    415.62x = 207,674.37
  5. Step 5: Solve for x
    x = 207,674.37/415.62
  6. Step 6: Final answer
    x = 499.67

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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.