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Finding the Fourth Proportional to 512.84, 707.45 and 316.01

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Solution

The fourth proportional to 512.84, 707.45 and 316.01 is: 435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.84 : 707.45 = 316.01 : x
  2. Step 2: Convert to fraction form
    512.84/707.45 = 316.01/x
  3. Step 3: Cross multiply
    512.84x = 707.45 × 316.01
  4. Step 4: Simplify right side
    512.84x = 223,556.16
  5. Step 5: Solve for x
    x = 223,556.16/512.84
  6. Step 6: Final answer
    x = 435.92

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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.