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Finding the Fourth Proportional to 474.65, 652.69 and 412.37

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Solution

The fourth proportional to 474.65, 652.69 and 412.37 is: 567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.65 : 652.69 = 412.37 : x
  2. Step 2: Convert to fraction form
    474.65/652.69 = 412.37/x
  3. Step 3: Cross multiply
    474.65x = 652.69 × 412.37
  4. Step 4: Simplify right side
    474.65x = 269,145.48
  5. Step 5: Solve for x
    x = 269,145.48/474.65
  6. Step 6: Final answer
    x = 567.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.