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Finding the Fourth Proportional to 440.27, 607.67 and 316.07

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Solution

The fourth proportional to 440.27, 607.67 and 316.07 is: 436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.27 : 607.67 = 316.07 : x
  2. Step 2: Convert to fraction form
    440.27/607.67 = 316.07/x
  3. Step 3: Cross multiply
    440.27x = 607.67 × 316.07
  4. Step 4: Simplify right side
    440.27x = 192,061.64
  5. Step 5: Solve for x
    x = 192,061.64/440.27
  6. Step 6: Final answer
    x = 436.24

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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.