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Finding the Fourth Proportional to 421.32, 581.16 and 288.48

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Solution

The fourth proportional to 421.32, 581.16 and 288.48 is: 397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.32 : 581.16 = 288.48 : x
  2. Step 2: Convert to fraction form
    421.32/581.16 = 288.48/x
  3. Step 3: Cross multiply
    421.32x = 581.16 × 288.48
  4. Step 4: Simplify right side
    421.32x = 167,653.04
  5. Step 5: Solve for x
    x = 167,653.04/421.32
  6. Step 6: Final answer
    x = 397.92

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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.