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Finding the Fourth Proportional to 583.76, 875.26 and 409.46

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Solution

The fourth proportional to 583.76, 875.26 and 409.46 is: 613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.76 : 875.26 = 409.46 : x
  2. Step 2: Convert to fraction form
    583.76/875.26 = 409.46/x
  3. Step 3: Cross multiply
    583.76x = 875.26 × 409.46
  4. Step 4: Simplify right side
    583.76x = 358,377.79
  5. Step 5: Solve for x
    x = 358,377.79/583.76
  6. Step 6: Final answer
    x = 613.92

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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.