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Finding the Fourth Proportional to 583.92, 874.72 and 339.92

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Solution

The fourth proportional to 583.92, 874.72 and 339.92 is: 509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.92 : 874.72 = 339.92 : x
  2. Step 2: Convert to fraction form
    583.92/874.72 = 339.92/x
  3. Step 3: Cross multiply
    583.92x = 874.72 × 339.92
  4. Step 4: Simplify right side
    583.92x = 297,334.82
  5. Step 5: Solve for x
    x = 297,334.82/583.92
  6. Step 6: Final answer
    x = 509.20

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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.