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Finding the Fourth Proportional to 442.40, 662.64 and 314.72

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Solution

The fourth proportional to 442.40, 662.64 and 314.72 is: 471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.40 : 662.64 = 314.72 : x
  2. Step 2: Convert to fraction form
    442.40/662.64 = 314.72/x
  3. Step 3: Cross multiply
    442.40x = 662.64 × 314.72
  4. Step 4: Simplify right side
    442.40x = 208,546.06
  5. Step 5: Solve for x
    x = 208,546.06/442.40
  6. Step 6: Final answer
    x = 471.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.