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Finding the Fourth Proportional to 477.94, 659.19 and 320.52

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Solution

The fourth proportional to 477.94, 659.19 and 320.52 is: 442.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.94 : 659.19 = 320.52 : x
  2. Step 2: Convert to fraction form
    477.94/659.19 = 320.52/x
  3. Step 3: Cross multiply
    477.94x = 659.19 × 320.52
  4. Step 4: Simplify right side
    477.94x = 211,281.98
  5. Step 5: Solve for x
    x = 211,281.98/477.94
  6. Step 6: Final answer
    x = 442.07

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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.