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Finding the Fourth Proportional to 421.61, 581.99 and 264.47

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Solution

The fourth proportional to 421.61, 581.99 and 264.47 is: 365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.61 : 581.99 = 264.47 : x
  2. Step 2: Convert to fraction form
    421.61/581.99 = 264.47/x
  3. Step 3: Cross multiply
    421.61x = 581.99 × 264.47
  4. Step 4: Simplify right side
    421.61x = 153,914.66
  5. Step 5: Solve for x
    x = 153,914.66/421.61
  6. Step 6: Final answer
    x = 365.07

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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.