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Finding the Fourth Proportional to 478.54, 716.46 and 374.86

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Solution

The fourth proportional to 478.54, 716.46 and 374.86 is: 561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.54 : 716.46 = 374.86 : x
  2. Step 2: Convert to fraction form
    478.54/716.46 = 374.86/x
  3. Step 3: Cross multiply
    478.54x = 716.46 × 374.86
  4. Step 4: Simplify right side
    478.54x = 268,572.20
  5. Step 5: Solve for x
    x = 268,572.20/478.54
  6. Step 6: Final answer
    x = 561.23

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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.