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Finding the Fourth Proportional to 395.64, 592.56 and 314.04

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Solution

The fourth proportional to 395.64, 592.56 and 314.04 is: 470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.64 : 592.56 = 314.04 : x
  2. Step 2: Convert to fraction form
    395.64/592.56 = 314.04/x
  3. Step 3: Cross multiply
    395.64x = 592.56 × 314.04
  4. Step 4: Simplify right side
    395.64x = 186,087.54
  5. Step 5: Solve for x
    x = 186,087.54/395.64
  6. Step 6: Final answer
    x = 470.35

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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.