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Finding the Fourth Proportional to 583.92, 875.88 and 340.20

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Solution

The fourth proportional to 583.92, 875.88 and 340.20 is: 510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.92 : 875.88 = 340.20 : x
  2. Step 2: Convert to fraction form
    583.92/875.88 = 340.20/x
  3. Step 3: Cross multiply
    583.92x = 875.88 × 340.20
  4. Step 4: Simplify right side
    583.92x = 297,974.38
  5. Step 5: Solve for x
    x = 297,974.38/583.92
  6. Step 6: Final answer
    x = 510.30

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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.