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Finding the Fourth Proportional to 436.24, 653.64 and 314.32

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Solution

The fourth proportional to 436.24, 653.64 and 314.32 is: 470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.24 : 653.64 = 314.32 : x
  2. Step 2: Convert to fraction form
    436.24/653.64 = 314.32/x
  3. Step 3: Cross multiply
    436.24x = 653.64 × 314.32
  4. Step 4: Simplify right side
    436.24x = 205,452.12
  5. Step 5: Solve for x
    x = 205,452.12/436.24
  6. Step 6: Final answer
    x = 470.96

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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.