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Finding the Fourth Proportional to 476.53, 712.99 and 359.18

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Solution

The fourth proportional to 476.53, 712.99 and 359.18 is: 537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.53 : 712.99 = 359.18 : x
  2. Step 2: Convert to fraction form
    476.53/712.99 = 359.18/x
  3. Step 3: Cross multiply
    476.53x = 712.99 × 359.18
  4. Step 4: Simplify right side
    476.53x = 256,091.75
  5. Step 5: Solve for x
    x = 256,091.75/476.53
  6. Step 6: Final answer
    x = 537.41

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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.