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Finding the Fourth Proportional to 615.40, 921.44 and 507.68

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Solution

The fourth proportional to 615.40, 921.44 and 507.68 is: 760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.40 : 921.44 = 507.68 : x
  2. Step 2: Convert to fraction form
    615.40/921.44 = 507.68/x
  3. Step 3: Cross multiply
    615.40x = 921.44 × 507.68
  4. Step 4: Simplify right side
    615.40x = 467,796.66
  5. Step 5: Solve for x
    x = 467,796.66/615.40
  6. Step 6: Final answer
    x = 760.15

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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.