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Finding the Fourth Proportional to 421.64, 581.78 and 291.08

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Solution

The fourth proportional to 421.64, 581.78 and 291.08 is: 401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.64 : 581.78 = 291.08 : x
  2. Step 2: Convert to fraction form
    421.64/581.78 = 291.08/x
  3. Step 3: Cross multiply
    421.64x = 581.78 × 291.08
  4. Step 4: Simplify right side
    421.64x = 169,344.52
  5. Step 5: Solve for x
    x = 169,344.52/421.64
  6. Step 6: Final answer
    x = 401.63

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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.