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Finding the Fourth Proportional to 514.96, 710.76 and 340.24

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Solution

The fourth proportional to 514.96, 710.76 and 340.24 is: 469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.96 : 710.76 = 340.24 : x
  2. Step 2: Convert to fraction form
    514.96/710.76 = 340.24/x
  3. Step 3: Cross multiply
    514.96x = 710.76 × 340.24
  4. Step 4: Simplify right side
    514.96x = 241,828.98
  5. Step 5: Solve for x
    x = 241,828.98/514.96
  6. Step 6: Final answer
    x = 469.61

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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.