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Finding the Fourth Proportional to 575.42, 793.79 and 365.24

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Solution

The fourth proportional to 575.42, 793.79 and 365.24 is: 503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.42 : 793.79 = 365.24 : x
  2. Step 2: Convert to fraction form
    575.42/793.79 = 365.24/x
  3. Step 3: Cross multiply
    575.42x = 793.79 × 365.24
  4. Step 4: Simplify right side
    575.42x = 289,918.06
  5. Step 5: Solve for x
    x = 289,918.06/575.42
  6. Step 6: Final answer
    x = 503.84

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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.