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Finding the Fourth Proportional to 477.15, 658.04 and 353.12

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Solution

The fourth proportional to 477.15, 658.04 and 353.12 is: 486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.15 : 658.04 = 353.12 : x
  2. Step 2: Convert to fraction form
    477.15/658.04 = 353.12/x
  3. Step 3: Cross multiply
    477.15x = 658.04 × 353.12
  4. Step 4: Simplify right side
    477.15x = 232,364.02
  5. Step 5: Solve for x
    x = 232,364.02/477.15
  6. Step 6: Final answer
    x = 486.99

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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.