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Finding the Fourth Proportional to 507.64, 699.66 and 387.95

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Solution

The fourth proportional to 507.64, 699.66 and 387.95 is: 534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.64 : 699.66 = 387.95 : x
  2. Step 2: Convert to fraction form
    507.64/699.66 = 387.95/x
  3. Step 3: Cross multiply
    507.64x = 699.66 × 387.95
  4. Step 4: Simplify right side
    507.64x = 271,433.10
  5. Step 5: Solve for x
    x = 271,433.10/507.64
  6. Step 6: Final answer
    x = 534.70

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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.