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Finding the Fourth Proportional to 474.43, 710.64 and 301.00

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Solution

The fourth proportional to 474.43, 710.64 and 301.00 is: 450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.43 : 710.64 = 301.00 : x
  2. Step 2: Convert to fraction form
    474.43/710.64 = 301.00/x
  3. Step 3: Cross multiply
    474.43x = 710.64 × 301.00
  4. Step 4: Simplify right side
    474.43x = 213,905.76
  5. Step 5: Solve for x
    x = 213,905.76/474.43
  6. Step 6: Final answer
    x = 450.87

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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.