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Finding the Fourth Proportional to 478.53, 715.70 and 412.92

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Solution

The fourth proportional to 478.53, 715.70 and 412.92 is: 617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.53 : 715.70 = 412.92 : x
  2. Step 2: Convert to fraction form
    478.53/715.70 = 412.92/x
  3. Step 3: Cross multiply
    478.53x = 715.70 × 412.92
  4. Step 4: Simplify right side
    478.53x = 295,527.88
  5. Step 5: Solve for x
    x = 295,527.88/478.53
  6. Step 6: Final answer
    x = 617.57

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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.