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Finding the Fourth Proportional to 528.29, 792.15 and 294.10

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Solution

The fourth proportional to 528.29, 792.15 and 294.10 is: 440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.29 : 792.15 = 294.10 : x
  2. Step 2: Convert to fraction form
    528.29/792.15 = 294.10/x
  3. Step 3: Cross multiply
    528.29x = 792.15 × 294.10
  4. Step 4: Simplify right side
    528.29x = 232,969.89
  5. Step 5: Solve for x
    x = 232,969.89/528.29
  6. Step 6: Final answer
    x = 440.99

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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.