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Finding the Fourth Proportional to 477.50, 659.27 and 320.36

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Solution

The fourth proportional to 477.50, 659.27 and 320.36 is: 442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.50 : 659.27 = 320.36 : x
  2. Step 2: Convert to fraction form
    477.50/659.27 = 320.36/x
  3. Step 3: Cross multiply
    477.50x = 659.27 × 320.36
  4. Step 4: Simplify right side
    477.50x = 211,204.98
  5. Step 5: Solve for x
    x = 211,204.98/477.50
  6. Step 6: Final answer
    x = 442.32

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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.