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Finding the Fourth Proportional to 575.36, 793.58 and 354.23

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Solution

The fourth proportional to 575.36, 793.58 and 354.23 is: 488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.36 : 793.58 = 354.23 : x
  2. Step 2: Convert to fraction form
    575.36/793.58 = 354.23/x
  3. Step 3: Cross multiply
    575.36x = 793.58 × 354.23
  4. Step 4: Simplify right side
    575.36x = 281,112.71
  5. Step 5: Solve for x
    x = 281,112.71/575.36
  6. Step 6: Final answer
    x = 488.58

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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.