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Finding the Fourth Proportional to 528.34, 729.07 and 295.42

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Solution

The fourth proportional to 528.34, 729.07 and 295.42 is: 407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.34 : 729.07 = 295.42 : x
  2. Step 2: Convert to fraction form
    528.34/729.07 = 295.42/x
  3. Step 3: Cross multiply
    528.34x = 729.07 × 295.42
  4. Step 4: Simplify right side
    528.34x = 215,376.74
  5. Step 5: Solve for x
    x = 215,376.74/528.34
  6. Step 6: Final answer
    x = 407.65

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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.