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Finding the Fourth Proportional to 578.57, 798.43 and 313.01

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Solution

The fourth proportional to 578.57, 798.43 and 313.01 is: 431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.57 : 798.43 = 313.01 : x
  2. Step 2: Convert to fraction form
    578.57/798.43 = 313.01/x
  3. Step 3: Cross multiply
    578.57x = 798.43 × 313.01
  4. Step 4: Simplify right side
    578.57x = 249,917.20
  5. Step 5: Solve for x
    x = 249,917.20/578.57
  6. Step 6: Final answer
    x = 431.96

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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.