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Finding the Fourth Proportional to 529.84, 729.96 and 382.22

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Solution

The fourth proportional to 529.84, 729.96 and 382.22 is: 526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.84 : 729.96 = 382.22 : x
  2. Step 2: Convert to fraction form
    529.84/729.96 = 382.22/x
  3. Step 3: Cross multiply
    529.84x = 729.96 × 382.22
  4. Step 4: Simplify right side
    529.84x = 279,005.31
  5. Step 5: Solve for x
    x = 279,005.31/529.84
  6. Step 6: Final answer
    x = 526.59

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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.