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Finding the Fourth Proportional to 583.43, 875.14 and 339.62

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Solution

The fourth proportional to 583.43, 875.14 and 339.62 is: 509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.43 : 875.14 = 339.62 : x
  2. Step 2: Convert to fraction form
    583.43/875.14 = 339.62/x
  3. Step 3: Cross multiply
    583.43x = 875.14 × 339.62
  4. Step 4: Simplify right side
    583.43x = 297,209.82
  5. Step 5: Solve for x
    x = 297,209.82/583.43
  6. Step 6: Final answer
    x = 509.42

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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.