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Finding the Fourth Proportional to 515.12, 708.81 and 500.76

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Solution

The fourth proportional to 515.12, 708.81 and 500.76 is: 689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.12 : 708.81 = 500.76 : x
  2. Step 2: Convert to fraction form
    515.12/708.81 = 500.76/x
  3. Step 3: Cross multiply
    515.12x = 708.81 × 500.76
  4. Step 4: Simplify right side
    515.12x = 354,941.19
  5. Step 5: Solve for x
    x = 354,941.19/515.12
  6. Step 6: Final answer
    x = 689.05

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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.