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Finding the Fourth Proportional to 479.96, 661.80 and 417.24

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Solution

The fourth proportional to 479.96, 661.80 and 417.24 is: 575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.96 : 661.80 = 417.24 : x
  2. Step 2: Convert to fraction form
    479.96/661.80 = 417.24/x
  3. Step 3: Cross multiply
    479.96x = 661.80 × 417.24
  4. Step 4: Simplify right side
    479.96x = 276,129.43
  5. Step 5: Solve for x
    x = 276,129.43/479.96
  6. Step 6: Final answer
    x = 575.32

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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.