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Finding the Fourth Proportional to 529.84, 795.12 and 255.88

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Solution

The fourth proportional to 529.84, 795.12 and 255.88 is: 383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.84 : 795.12 = 255.88 : x
  2. Step 2: Convert to fraction form
    529.84/795.12 = 255.88/x
  3. Step 3: Cross multiply
    529.84x = 795.12 × 255.88
  4. Step 4: Simplify right side
    529.84x = 203,455.31
  5. Step 5: Solve for x
    x = 203,455.31/529.84
  6. Step 6: Final answer
    x = 383.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.