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Finding the Fourth Proportional to 512.84, 707.66 and 303.02

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Solution

The fourth proportional to 512.84, 707.66 and 303.02 is: 418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.84 : 707.66 = 303.02 : x
  2. Step 2: Convert to fraction form
    512.84/707.66 = 303.02/x
  3. Step 3: Cross multiply
    512.84x = 707.66 × 303.02
  4. Step 4: Simplify right side
    512.84x = 214,435.13
  5. Step 5: Solve for x
    x = 214,435.13/512.84
  6. Step 6: Final answer
    x = 418.13

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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.