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Finding the Fourth Proportional to 384.56, 529.86 and 353.10

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Solution

The fourth proportional to 384.56, 529.86 and 353.10 is: 486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.56 : 529.86 = 353.10 : x
  2. Step 2: Convert to fraction form
    384.56/529.86 = 353.10/x
  3. Step 3: Cross multiply
    384.56x = 529.86 × 353.10
  4. Step 4: Simplify right side
    384.56x = 187,093.57
  5. Step 5: Solve for x
    x = 187,093.57/384.56
  6. Step 6: Final answer
    x = 486.51

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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.