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Finding the Fourth Proportional to 507.95, 701.02 and 308.76

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Solution

The fourth proportional to 507.95, 701.02 and 308.76 is: 426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.95 : 701.02 = 308.76 : x
  2. Step 2: Convert to fraction form
    507.95/701.02 = 308.76/x
  3. Step 3: Cross multiply
    507.95x = 701.02 × 308.76
  4. Step 4: Simplify right side
    507.95x = 216,446.94
  5. Step 5: Solve for x
    x = 216,446.94/507.95
  6. Step 6: Final answer
    x = 426.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.