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Finding the Fourth Proportional to 442.28, 666.35 and 400.64

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Solution

The fourth proportional to 442.28, 666.35 and 400.64 is: 603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.28 : 666.35 = 400.64 : x
  2. Step 2: Convert to fraction form
    442.28/666.35 = 400.64/x
  3. Step 3: Cross multiply
    442.28x = 666.35 × 400.64
  4. Step 4: Simplify right side
    442.28x = 266,966.46
  5. Step 5: Solve for x
    x = 266,966.46/442.28
  6. Step 6: Final answer
    x = 603.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.