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Finding the Fourth Proportional to 495.70, 744.15 and 313.85

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Solution

The fourth proportional to 495.70, 744.15 and 313.85 is: 471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.70 : 744.15 = 313.85 : x
  2. Step 2: Convert to fraction form
    495.70/744.15 = 313.85/x
  3. Step 3: Cross multiply
    495.70x = 744.15 × 313.85
  4. Step 4: Simplify right side
    495.70x = 233,551.48
  5. Step 5: Solve for x
    x = 233,551.48/495.70
  6. Step 6: Final answer
    x = 471.15

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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.