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Finding the Fourth Proportional to 529.97, 731.05 and 320.00

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Solution

The fourth proportional to 529.97, 731.05 and 320.00 is: 441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.97 : 731.05 = 320.00 : x
  2. Step 2: Convert to fraction form
    529.97/731.05 = 320.00/x
  3. Step 3: Cross multiply
    529.97x = 731.05 × 320.00
  4. Step 4: Simplify right side
    529.97x = 233,931.54
  5. Step 5: Solve for x
    x = 233,931.54/529.97
  6. Step 6: Final answer
    x = 441.41

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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.