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Finding the Fourth Proportional to 478.04, 658.06 and 412.16

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Solution

The fourth proportional to 478.04, 658.06 and 412.16 is: 567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.04 : 658.06 = 412.16 : x
  2. Step 2: Convert to fraction form
    478.04/658.06 = 412.16/x
  3. Step 3: Cross multiply
    478.04x = 658.06 × 412.16
  4. Step 4: Simplify right side
    478.04x = 271,226.01
  5. Step 5: Solve for x
    x = 271,226.01/478.04
  6. Step 6: Final answer
    x = 567.37

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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.