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Finding the Fourth Proportional to 575.62, 794.34 and 313.63

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Solution

The fourth proportional to 575.62, 794.34 and 313.63 is: 432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.62 : 794.34 = 313.63 : x
  2. Step 2: Convert to fraction form
    575.62/794.34 = 313.63/x
  3. Step 3: Cross multiply
    575.62x = 794.34 × 313.63
  4. Step 4: Simplify right side
    575.62x = 249,124.88
  5. Step 5: Solve for x
    x = 249,124.88/575.62
  6. Step 6: Final answer
    x = 432.80

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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.