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Finding the Fourth Proportional to 528, 728.64 and 306.96

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Solution

The fourth proportional to 528, 728.64 and 306.96 is: 423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    528 : 728.64 = 306.96 : x
  2. Step 2: Convert to fraction form
    528/728.64 = 306.96/x
  3. Step 3: Cross multiply
    528x = 728.64 × 306.96
  4. Step 4: Simplify right side
    528x = 223,663.33
  5. Step 5: Solve for x
    x = 223,663.33/528
  6. Step 6: Final answer
    x = 423.60

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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.