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Finding the Fourth Proportional to 508.14, 761.18 and 425.64

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Solution

The fourth proportional to 508.14, 761.18 and 425.64 is: 637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.14 : 761.18 = 425.64 : x
  2. Step 2: Convert to fraction form
    508.14/761.18 = 425.64/x
  3. Step 3: Cross multiply
    508.14x = 761.18 × 425.64
  4. Step 4: Simplify right side
    508.14x = 323,987.24
  5. Step 5: Solve for x
    x = 323,987.24/508.14
  6. Step 6: Final answer
    x = 637.59

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