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Finding the Fourth Proportional to 528.84, 730.04 and 354.28

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Solution

The fourth proportional to 528.84, 730.04 and 354.28 is: 489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.84 : 730.04 = 354.28 : x
  2. Step 2: Convert to fraction form
    528.84/730.04 = 354.28/x
  3. Step 3: Cross multiply
    528.84x = 730.04 × 354.28
  4. Step 4: Simplify right side
    528.84x = 258,638.57
  5. Step 5: Solve for x
    x = 258,638.57/528.84
  6. Step 6: Final answer
    x = 489.07

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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.