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Finding the Fourth Proportional to 421.66, 581.95 and 264.45

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Solution

The fourth proportional to 421.66, 581.95 and 264.45 is: 364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.66 : 581.95 = 264.45 : x
  2. Step 2: Convert to fraction form
    421.66/581.95 = 264.45/x
  3. Step 3: Cross multiply
    421.66x = 581.95 × 264.45
  4. Step 4: Simplify right side
    421.66x = 153,896.68
  5. Step 5: Solve for x
    x = 153,896.68/421.66
  6. Step 6: Final answer
    x = 364.98

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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.