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Finding the Fourth Proportional to 440.46, 607.78 and 285.21

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Solution

The fourth proportional to 440.46, 607.78 and 285.21 is: 393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.46 : 607.78 = 285.21 : x
  2. Step 2: Convert to fraction form
    440.46/607.78 = 285.21/x
  3. Step 3: Cross multiply
    440.46x = 607.78 × 285.21
  4. Step 4: Simplify right side
    440.46x = 173,341.89
  5. Step 5: Solve for x
    x = 173,341.89/440.46
  6. Step 6: Final answer
    x = 393.55

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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.