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Finding the Fourth Proportional to 528.42, 793.14 and 297.57

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Solution

The fourth proportional to 528.42, 793.14 and 297.57 is: 446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.42 : 793.14 = 297.57 : x
  2. Step 2: Convert to fraction form
    528.42/793.14 = 297.57/x
  3. Step 3: Cross multiply
    528.42x = 793.14 × 297.57
  4. Step 4: Simplify right side
    528.42x = 236,013.18
  5. Step 5: Solve for x
    x = 236,013.18/528.42
  6. Step 6: Final answer
    x = 446.64

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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.