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Finding the Fourth Proportional to 528.19, 728.93 and 350.84

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Solution

The fourth proportional to 528.19, 728.93 and 350.84 is: 484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.19 : 728.93 = 350.84 : x
  2. Step 2: Convert to fraction form
    528.19/728.93 = 350.84/x
  3. Step 3: Cross multiply
    528.19x = 728.93 × 350.84
  4. Step 4: Simplify right side
    528.19x = 255,740.50
  5. Step 5: Solve for x
    x = 255,740.50/528.19
  6. Step 6: Final answer
    x = 484.19

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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.