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Finding the Fourth Proportional to 468.24, 644.99 and 357.53

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Solution

The fourth proportional to 468.24, 644.99 and 357.53 is: 492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.24 : 644.99 = 357.53 : x
  2. Step 2: Convert to fraction form
    468.24/644.99 = 357.53/x
  3. Step 3: Cross multiply
    468.24x = 644.99 × 357.53
  4. Step 4: Simplify right side
    468.24x = 230,598.26
  5. Step 5: Solve for x
    x = 230,598.26/468.24
  6. Step 6: Final answer
    x = 492.48

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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.