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Finding the Fourth Proportional to 578.34, 869.13 and 474.66

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Solution

The fourth proportional to 578.34, 869.13 and 474.66 is: 713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.34 : 869.13 = 474.66 : x
  2. Step 2: Convert to fraction form
    578.34/869.13 = 474.66/x
  3. Step 3: Cross multiply
    578.34x = 869.13 × 474.66
  4. Step 4: Simplify right side
    578.34x = 412,541.25
  5. Step 5: Solve for x
    x = 412,541.25/578.34
  6. Step 6: Final answer
    x = 713.32

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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.