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Finding the Fourth Proportional to 514.74, 710.72 and 365.70

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Solution

The fourth proportional to 514.74, 710.72 and 365.70 is: 504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.74 : 710.72 = 365.70 : x
  2. Step 2: Convert to fraction form
    514.74/710.72 = 365.70/x
  3. Step 3: Cross multiply
    514.74x = 710.72 × 365.70
  4. Step 4: Simplify right side
    514.74x = 259,908.48
  5. Step 5: Solve for x
    x = 259,908.48/514.74
  6. Step 6: Final answer
    x = 504.93

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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.