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Finding the Fourth Proportional to 333.70, 501.14 and 288.79

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Solution

The fourth proportional to 333.70, 501.14 and 288.79 is: 433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.70 : 501.14 = 288.79 : x
  2. Step 2: Convert to fraction form
    333.70/501.14 = 288.79/x
  3. Step 3: Cross multiply
    333.70x = 501.14 × 288.79
  4. Step 4: Simplify right side
    333.70x = 144,724.22
  5. Step 5: Solve for x
    x = 144,724.22/333.70
  6. Step 6: Final answer
    x = 433.70

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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.