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Finding the Fourth Proportional to 476.56, 715.34 and 271.53

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Solution

The fourth proportional to 476.56, 715.34 and 271.53 is: 407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.56 : 715.34 = 271.53 : x
  2. Step 2: Convert to fraction form
    476.56/715.34 = 271.53/x
  3. Step 3: Cross multiply
    476.56x = 715.34 × 271.53
  4. Step 4: Simplify right side
    476.56x = 194,236.27
  5. Step 5: Solve for x
    x = 194,236.27/476.56
  6. Step 6: Final answer
    x = 407.58

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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.