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Finding the Fourth Proportional to 344.58, 514.34 and 315.72

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Solution

The fourth proportional to 344.58, 514.34 and 315.72 is: 471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.58 : 514.34 = 315.72 : x
  2. Step 2: Convert to fraction form
    344.58/514.34 = 315.72/x
  3. Step 3: Cross multiply
    344.58x = 514.34 × 315.72
  4. Step 4: Simplify right side
    344.58x = 162,387.42
  5. Step 5: Solve for x
    x = 162,387.42/344.58
  6. Step 6: Final answer
    x = 471.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.