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Finding the Fourth Proportional to 512.42, 707.18 and 316.04

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Solution

The fourth proportional to 512.42, 707.18 and 316.04 is: 436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.42 : 707.18 = 316.04 : x
  2. Step 2: Convert to fraction form
    512.42/707.18 = 316.04/x
  3. Step 3: Cross multiply
    512.42x = 707.18 × 316.04
  4. Step 4: Simplify right side
    512.42x = 223,492.05
  5. Step 5: Solve for x
    x = 223,492.05/512.42
  6. Step 6: Final answer
    x = 436.15

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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.