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Finding the Fourth Proportional to 417.96, 575.44 and 362.67

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Solution

The fourth proportional to 417.96, 575.44 and 362.67 is: 499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.96 : 575.44 = 362.67 : x
  2. Step 2: Convert to fraction form
    417.96/575.44 = 362.67/x
  3. Step 3: Cross multiply
    417.96x = 575.44 × 362.67
  4. Step 4: Simplify right side
    417.96x = 208,693.01
  5. Step 5: Solve for x
    x = 208,693.01/417.96
  6. Step 6: Final answer
    x = 499.32

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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.