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Finding the Fourth Proportional to 582.77, 873.72 and 294

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Solution

The fourth proportional to 582.77, 873.72 and 294 is: 440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.77 : 873.72 = 294 : x
  2. Step 2: Convert to fraction form
    582.77/873.72 = 294/x
  3. Step 3: Cross multiply
    582.77x = 873.72 × 294
  4. Step 4: Simplify right side
    582.77x = 256,873.68
  5. Step 5: Solve for x
    x = 256,873.68/582.77
  6. Step 6: Final answer
    x = 440.78

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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.