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Finding the Fourth Proportional to 479.52, 715.38 and 427.24

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Solution

The fourth proportional to 479.52, 715.38 and 427.24 is: 637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.52 : 715.38 = 427.24 : x
  2. Step 2: Convert to fraction form
    479.52/715.38 = 427.24/x
  3. Step 3: Cross multiply
    479.52x = 715.38 × 427.24
  4. Step 4: Simplify right side
    479.52x = 305,638.95
  5. Step 5: Solve for x
    x = 305,638.95/479.52
  6. Step 6: Final answer
    x = 637.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.