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Finding the Fourth Proportional to 898.70, 1,347.64 and 313.57

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Solution

The fourth proportional to 898.70, 1,347.64 and 313.57 is: 470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.70 : 1,347.64 = 313.57 : x
  2. Step 2: Convert to fraction form
    898.70/1,347.64 = 313.57/x
  3. Step 3: Cross multiply
    898.70x = 1,347.64 × 313.57
  4. Step 4: Simplify right side
    898.70x = 422,580.38
  5. Step 5: Solve for x
    x = 422,580.38/898.70
  6. Step 6: Final answer
    x = 470.22

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Why These Related Problems?

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