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Finding the Fourth Proportional to 898.69, 1,347.70 and 313.54

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Solution

The fourth proportional to 898.69, 1,347.70 and 313.54 is: 470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.69 : 1,347.70 = 313.54 : x
  2. Step 2: Convert to fraction form
    898.69/1,347.70 = 313.54/x
  3. Step 3: Cross multiply
    898.69x = 1,347.70 × 313.54
  4. Step 4: Simplify right side
    898.69x = 422,549.55
  5. Step 5: Solve for x
    x = 422,549.55/898.69
  6. Step 6: Final answer
    x = 470.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.