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Finding the Fourth Proportional to 474.90, 652.72 and 419.30

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Solution

The fourth proportional to 474.90, 652.72 and 419.30 is: 576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.90 : 652.72 = 419.30 : x
  2. Step 2: Convert to fraction form
    474.90/652.72 = 419.30/x
  3. Step 3: Cross multiply
    474.90x = 652.72 × 419.30
  4. Step 4: Simplify right side
    474.90x = 273,685.50
  5. Step 5: Solve for x
    x = 273,685.50/474.90
  6. Step 6: Final answer
    x = 576.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.