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Finding the Fourth Proportional to 575.83, 794.55 and 366.04

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Solution

The fourth proportional to 575.83, 794.55 and 366.04 is: 505.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.83 : 794.55 = 366.04 : x
  2. Step 2: Convert to fraction form
    575.83/794.55 = 366.04/x
  3. Step 3: Cross multiply
    575.83x = 794.55 × 366.04
  4. Step 4: Simplify right side
    575.83x = 290,837.08
  5. Step 5: Solve for x
    x = 290,837.08/575.83
  6. Step 6: Final answer
    x = 505.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.