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Finding the Fourth Proportional to 333.26, 499.93 and 313.01

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Solution

The fourth proportional to 333.26, 499.93 and 313.01 is: 469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.26 : 499.93 = 313.01 : x
  2. Step 2: Convert to fraction form
    333.26/499.93 = 313.01/x
  3. Step 3: Cross multiply
    333.26x = 499.93 × 313.01
  4. Step 4: Simplify right side
    333.26x = 156,479.81
  5. Step 5: Solve for x
    x = 156,479.81/333.26
  6. Step 6: Final answer
    x = 469.55

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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.