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Finding the Fourth Proportional to 347.12, 517.65 and 296.08

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Solution

The fourth proportional to 347.12, 517.65 and 296.08 is: 441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.12 : 517.65 = 296.08 : x
  2. Step 2: Convert to fraction form
    347.12/517.65 = 296.08/x
  3. Step 3: Cross multiply
    347.12x = 517.65 × 296.08
  4. Step 4: Simplify right side
    347.12x = 153,265.81
  5. Step 5: Solve for x
    x = 153,265.81/347.12
  6. Step 6: Final answer
    x = 441.54

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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.