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Finding the Fourth Proportional to 528.39, 728.95 and 353.79

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Solution

The fourth proportional to 528.39, 728.95 and 353.79 is: 488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.39 : 728.95 = 353.79 : x
  2. Step 2: Convert to fraction form
    528.39/728.95 = 353.79/x
  3. Step 3: Cross multiply
    528.39x = 728.95 × 353.79
  4. Step 4: Simplify right side
    528.39x = 257,895.22
  5. Step 5: Solve for x
    x = 257,895.22/528.39
  6. Step 6: Final answer
    x = 488.08

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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.