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Finding the Fourth Proportional to 574.51, 792.83 and 312.53

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Solution

The fourth proportional to 574.51, 792.83 and 312.53 is: 431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.51 : 792.83 = 312.53 : x
  2. Step 2: Convert to fraction form
    574.51/792.83 = 312.53/x
  3. Step 3: Cross multiply
    574.51x = 792.83 × 312.53
  4. Step 4: Simplify right side
    574.51x = 247,779.10
  5. Step 5: Solve for x
    x = 247,779.10/574.51
  6. Step 6: Final answer
    x = 431.29

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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.