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Finding the Fourth Proportional to 477.63, 658.80 and 337.50

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Solution

The fourth proportional to 477.63, 658.80 and 337.50 is: 465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.63 : 658.80 = 337.50 : x
  2. Step 2: Convert to fraction form
    477.63/658.80 = 337.50/x
  3. Step 3: Cross multiply
    477.63x = 658.80 × 337.50
  4. Step 4: Simplify right side
    477.63x = 222,345.00
  5. Step 5: Solve for x
    x = 222,345.00/477.63
  6. Step 6: Final answer
    x = 465.52

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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.