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Finding the Fourth Proportional to 353.04, 528.68 and 294.88

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Solution

The fourth proportional to 353.04, 528.68 and 294.88 is: 441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.04 : 528.68 = 294.88 : x
  2. Step 2: Convert to fraction form
    353.04/528.68 = 294.88/x
  3. Step 3: Cross multiply
    353.04x = 528.68 × 294.88
  4. Step 4: Simplify right side
    353.04x = 155,897.16
  5. Step 5: Solve for x
    x = 155,897.16/353.04
  6. Step 6: Final answer
    x = 441.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.