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Finding the Fourth Proportional to 477.34, 658.47 and 346.12

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Solution

The fourth proportional to 477.34, 658.47 and 346.12 is: 477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.34 : 658.47 = 346.12 : x
  2. Step 2: Convert to fraction form
    477.34/658.47 = 346.12/x
  3. Step 3: Cross multiply
    477.34x = 658.47 × 346.12
  4. Step 4: Simplify right side
    477.34x = 227,909.64
  5. Step 5: Solve for x
    x = 227,909.64/477.34
  6. Step 6: Final answer
    x = 477.46

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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.