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Finding the Fourth Proportional to 528.44, 729.16 and 295.58

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Solution

The fourth proportional to 528.44, 729.16 and 295.58 is: 407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.44 : 729.16 = 295.58 : x
  2. Step 2: Convert to fraction form
    528.44/729.16 = 295.58/x
  3. Step 3: Cross multiply
    528.44x = 729.16 × 295.58
  4. Step 4: Simplify right side
    528.44x = 215,525.11
  5. Step 5: Solve for x
    x = 215,525.11/528.44
  6. Step 6: Final answer
    x = 407.85

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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.