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Finding the Fourth Proportional to 513.17, 707.92 and 316.64

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Solution

The fourth proportional to 513.17, 707.92 and 316.64 is: 436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.17 : 707.92 = 316.64 : x
  2. Step 2: Convert to fraction form
    513.17/707.92 = 316.64/x
  3. Step 3: Cross multiply
    513.17x = 707.92 × 316.64
  4. Step 4: Simplify right side
    513.17x = 224,152.25
  5. Step 5: Solve for x
    x = 224,152.25/513.17
  6. Step 6: Final answer
    x = 436.80

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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.