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Finding the Fourth Proportional to 528.06, 728.55 and 320.94

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Solution

The fourth proportional to 528.06, 728.55 and 320.94 is: 442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.06 : 728.55 = 320.94 : x
  2. Step 2: Convert to fraction form
    528.06/728.55 = 320.94/x
  3. Step 3: Cross multiply
    528.06x = 728.55 × 320.94
  4. Step 4: Simplify right side
    528.06x = 233,820.84
  5. Step 5: Solve for x
    x = 233,820.84/528.06
  6. Step 6: Final answer
    x = 442.79

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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.