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Finding the Fourth Proportional to 575.02, 793.53 and 342.13

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Solution

The fourth proportional to 575.02, 793.53 and 342.13 is: 472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.02 : 793.53 = 342.13 : x
  2. Step 2: Convert to fraction form
    575.02/793.53 = 342.13/x
  3. Step 3: Cross multiply
    575.02x = 793.53 × 342.13
  4. Step 4: Simplify right side
    575.02x = 271,490.42
  5. Step 5: Solve for x
    x = 271,490.42/575.02
  6. Step 6: Final answer
    x = 472.14

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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.