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Finding the Fourth Proportional to 508.67, 762.37 and 405.53

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Solution

The fourth proportional to 508.67, 762.37 and 405.53 is: 607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.67 : 762.37 = 405.53 : x
  2. Step 2: Convert to fraction form
    508.67/762.37 = 405.53/x
  3. Step 3: Cross multiply
    508.67x = 762.37 × 405.53
  4. Step 4: Simplify right side
    508.67x = 309,159.08
  5. Step 5: Solve for x
    x = 309,159.08/508.67
  6. Step 6: Final answer
    x = 607.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.