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Finding the Fourth Proportional to 440.04, 656.85 and 398.92

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Solution

The fourth proportional to 440.04, 656.85 and 398.92 is: 595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.04 : 656.85 = 398.92 : x
  2. Step 2: Convert to fraction form
    440.04/656.85 = 398.92/x
  3. Step 3: Cross multiply
    440.04x = 656.85 × 398.92
  4. Step 4: Simplify right side
    440.04x = 262,030.60
  5. Step 5: Solve for x
    x = 262,030.60/440.04
  6. Step 6: Final answer
    x = 595.47

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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.