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Finding the Fourth Proportional to 584.70, 875.49 and 353.28

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Solution

The fourth proportional to 584.70, 875.49 and 353.28 is: 528.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.70 : 875.49 = 353.28 : x
  2. Step 2: Convert to fraction form
    584.70/875.49 = 353.28/x
  3. Step 3: Cross multiply
    584.70x = 875.49 × 353.28
  4. Step 4: Simplify right side
    584.70x = 309,293.11
  5. Step 5: Solve for x
    x = 309,293.11/584.70
  6. Step 6: Final answer
    x = 528.98

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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.