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Finding the Fourth Proportional to 528.49, 793.10 and 285.19

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Solution

The fourth proportional to 528.49, 793.10 and 285.19 is: 427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.49 : 793.10 = 285.19 : x
  2. Step 2: Convert to fraction form
    528.49/793.10 = 285.19/x
  3. Step 3: Cross multiply
    528.49x = 793.10 × 285.19
  4. Step 4: Simplify right side
    528.49x = 226,184.19
  5. Step 5: Solve for x
    x = 226,184.19/528.49
  6. Step 6: Final answer
    x = 427.98

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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.