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Finding the Fourth Proportional to 384.71, 529.56 and 335.50

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Solution

The fourth proportional to 384.71, 529.56 and 335.50 is: 461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.71 : 529.56 = 335.50 : x
  2. Step 2: Convert to fraction form
    384.71/529.56 = 335.50/x
  3. Step 3: Cross multiply
    384.71x = 529.56 × 335.50
  4. Step 4: Simplify right side
    384.71x = 177,666.60
  5. Step 5: Solve for x
    x = 177,666.60/384.71
  6. Step 6: Final answer
    x = 461.82

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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.