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Finding the Fourth Proportional to 583.92, 875.93 and 340.47

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Solution

The fourth proportional to 583.92, 875.93 and 340.47 is: 510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.92 : 875.93 = 340.47 : x
  2. Step 2: Convert to fraction form
    583.92/875.93 = 340.47/x
  3. Step 3: Cross multiply
    583.92x = 875.93 × 340.47
  4. Step 4: Simplify right side
    583.92x = 298,226.18
  5. Step 5: Solve for x
    x = 298,226.18/583.92
  6. Step 6: Final answer
    x = 510.73

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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.