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Finding the Fourth Proportional to 417.32, 575.64 and 262.16

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Solution

The fourth proportional to 417.32, 575.64 and 262.16 is: 361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.32 : 575.64 = 262.16 : x
  2. Step 2: Convert to fraction form
    417.32/575.64 = 262.16/x
  3. Step 3: Cross multiply
    417.32x = 575.64 × 262.16
  4. Step 4: Simplify right side
    417.32x = 150,909.78
  5. Step 5: Solve for x
    x = 150,909.78/417.32
  6. Step 6: Final answer
    x = 361.62

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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.