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Finding the Fourth Proportional to 528.08, 728.54 and 306.98

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Solution

The fourth proportional to 528.08, 728.54 and 306.98 is: 423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.08 : 728.54 = 306.98 : x
  2. Step 2: Convert to fraction form
    528.08/728.54 = 306.98/x
  3. Step 3: Cross multiply
    528.08x = 728.54 × 306.98
  4. Step 4: Simplify right side
    528.08x = 223,647.21
  5. Step 5: Solve for x
    x = 223,647.21/528.08
  6. Step 6: Final answer
    x = 423.51

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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.