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Finding the Fourth Proportional to 529.10, 792.42 and 297.51

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Solution

The fourth proportional to 529.10, 792.42 and 297.51 is: 445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.10 : 792.42 = 297.51 : x
  2. Step 2: Convert to fraction form
    529.10/792.42 = 297.51/x
  3. Step 3: Cross multiply
    529.10x = 792.42 × 297.51
  4. Step 4: Simplify right side
    529.10x = 235,748.79
  5. Step 5: Solve for x
    x = 235,748.79/529.10
  6. Step 6: Final answer
    x = 445.57

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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.