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Finding the Fourth Proportional to 333.88, 501.02 and 313.63

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Solution

The fourth proportional to 333.88, 501.02 and 313.63 is: 470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.88 : 501.02 = 313.63 : x
  2. Step 2: Convert to fraction form
    333.88/501.02 = 313.63/x
  3. Step 3: Cross multiply
    333.88x = 501.02 × 313.63
  4. Step 4: Simplify right side
    333.88x = 157,130.83
  5. Step 5: Solve for x
    x = 157,130.83/333.88
  6. Step 6: Final answer
    x = 470.63

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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.