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Finding the Fourth Proportional to 474.54, 710.46 and 370.86

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Solution

The fourth proportional to 474.54, 710.46 and 370.86 is: 555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.54 : 710.46 = 370.86 : x
  2. Step 2: Convert to fraction form
    474.54/710.46 = 370.86/x
  3. Step 3: Cross multiply
    474.54x = 710.46 × 370.86
  4. Step 4: Simplify right side
    474.54x = 263,481.20
  5. Step 5: Solve for x
    x = 263,481.20/474.54
  6. Step 6: Final answer
    x = 555.23

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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.