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Finding the Fourth Proportional to 349.59, 482.63 and 314.13

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Solution

The fourth proportional to 349.59, 482.63 and 314.13 is: 433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.59 : 482.63 = 314.13 : x
  2. Step 2: Convert to fraction form
    349.59/482.63 = 314.13/x
  3. Step 3: Cross multiply
    349.59x = 482.63 × 314.13
  4. Step 4: Simplify right side
    349.59x = 151,608.74
  5. Step 5: Solve for x
    x = 151,608.74/349.59
  6. Step 6: Final answer
    x = 433.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.