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Finding the Fourth Proportional to 479.32, 715.64 and 427.07

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Solution

The fourth proportional to 479.32, 715.64 and 427.07 is: 637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.32 : 715.64 = 427.07 : x
  2. Step 2: Convert to fraction form
    479.32/715.64 = 427.07/x
  3. Step 3: Cross multiply
    479.32x = 715.64 × 427.07
  4. Step 4: Simplify right side
    479.32x = 305,628.03
  5. Step 5: Solve for x
    x = 305,628.03/479.32
  6. Step 6: Final answer
    x = 637.63

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