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Finding the Fourth Proportional to 515.98, 712.10 and 294.95

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Solution

The fourth proportional to 515.98, 712.10 and 294.95 is: 407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.98 : 712.10 = 294.95 : x
  2. Step 2: Convert to fraction form
    515.98/712.10 = 294.95/x
  3. Step 3: Cross multiply
    515.98x = 712.10 × 294.95
  4. Step 4: Simplify right side
    515.98x = 210,028.86
  5. Step 5: Solve for x
    x = 210,028.86/515.98
  6. Step 6: Final answer
    x = 407.05

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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.