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Finding the Fourth Proportional to 528.14, 728.82 and 307.08

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Solution

The fourth proportional to 528.14, 728.82 and 307.08 is: 423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.14 : 728.82 = 307.08 : x
  2. Step 2: Convert to fraction form
    528.14/728.82 = 307.08/x
  3. Step 3: Cross multiply
    528.14x = 728.82 × 307.08
  4. Step 4: Simplify right side
    528.14x = 223,806.05
  5. Step 5: Solve for x
    x = 223,806.05/528.14
  6. Step 6: Final answer
    x = 423.76

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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.