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Finding the Fourth Proportional to 440.32, 657.27 and 407.74

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Solution

The fourth proportional to 440.32, 657.27 and 407.74 is: 608.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.32 : 657.27 = 407.74 : x
  2. Step 2: Convert to fraction form
    440.32/657.27 = 407.74/x
  3. Step 3: Cross multiply
    440.32x = 657.27 × 407.74
  4. Step 4: Simplify right side
    440.32x = 267,995.27
  5. Step 5: Solve for x
    x = 267,995.27/440.32
  6. Step 6: Final answer
    x = 608.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.