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Finding the Fourth Proportional to 575.57, 794.28 and 313.59

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Solution

The fourth proportional to 575.57, 794.28 and 313.59 is: 432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.57 : 794.28 = 313.59 : x
  2. Step 2: Convert to fraction form
    575.57/794.28 = 313.59/x
  3. Step 3: Cross multiply
    575.57x = 794.28 × 313.59
  4. Step 4: Simplify right side
    575.57x = 249,078.27
  5. Step 5: Solve for x
    x = 249,078.27/575.57
  6. Step 6: Final answer
    x = 432.75

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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.