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Finding the Fourth Proportional to 314.24, 470.72 and 302.32

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Solution

The fourth proportional to 314.24, 470.72 and 302.32 is: 452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.24 : 470.72 = 302.32 : x
  2. Step 2: Convert to fraction form
    314.24/470.72 = 302.32/x
  3. Step 3: Cross multiply
    314.24x = 470.72 × 302.32
  4. Step 4: Simplify right side
    314.24x = 142,308.07
  5. Step 5: Solve for x
    x = 142,308.07/314.24
  6. Step 6: Final answer
    x = 452.86

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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.