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Finding the Fourth Proportional to 512.42, 707.22 and 316.00

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Solution

The fourth proportional to 512.42, 707.22 and 316.00 is: 436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.42 : 707.22 = 316.00 : x
  2. Step 2: Convert to fraction form
    512.42/707.22 = 316.00/x
  3. Step 3: Cross multiply
    512.42x = 707.22 × 316.00
  4. Step 4: Simplify right side
    512.42x = 223,476.40
  5. Step 5: Solve for x
    x = 223,476.40/512.42
  6. Step 6: Final answer
    x = 436.12

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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.