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Finding the Fourth Proportional to 575.12, 793.80 and 367.76

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Solution

The fourth proportional to 575.12, 793.80 and 367.76 is: 507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.12 : 793.80 = 367.76 : x
  2. Step 2: Convert to fraction form
    575.12/793.80 = 367.76/x
  3. Step 3: Cross multiply
    575.12x = 793.80 × 367.76
  4. Step 4: Simplify right side
    575.12x = 291,927.89
  5. Step 5: Solve for x
    x = 291,927.89/575.12
  6. Step 6: Final answer
    x = 507.59

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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.