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Finding the Fourth Proportional to 583.52, 875.43 and 340.20

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Solution

The fourth proportional to 583.52, 875.43 and 340.20 is: 510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.52 : 875.43 = 340.20 : x
  2. Step 2: Convert to fraction form
    583.52/875.43 = 340.20/x
  3. Step 3: Cross multiply
    583.52x = 875.43 × 340.20
  4. Step 4: Simplify right side
    583.52x = 297,821.29
  5. Step 5: Solve for x
    x = 297,821.29/583.52
  6. Step 6: Final answer
    x = 510.39

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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.