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Finding the Fourth Proportional to 582.96, 874.92 and 305.51

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Solution

The fourth proportional to 582.96, 874.92 and 305.51 is: 458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.96 : 874.92 = 305.51 : x
  2. Step 2: Convert to fraction form
    582.96/874.92 = 305.51/x
  3. Step 3: Cross multiply
    582.96x = 874.92 × 305.51
  4. Step 4: Simplify right side
    582.96x = 267,292.43
  5. Step 5: Solve for x
    x = 267,292.43/582.96
  6. Step 6: Final answer
    x = 458.51

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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.