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Finding the Fourth Proportional to 440.71, 607.67 and 316.31

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Solution

The fourth proportional to 440.71, 607.67 and 316.31 is: 436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.71 : 607.67 = 316.31 : x
  2. Step 2: Convert to fraction form
    440.71/607.67 = 316.31/x
  3. Step 3: Cross multiply
    440.71x = 607.67 × 316.31
  4. Step 4: Simplify right side
    440.71x = 192,208.66
  5. Step 5: Solve for x
    x = 192,208.66/440.71
  6. Step 6: Final answer
    x = 436.14

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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.