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Finding the Fourth Proportional to 512.40, 707.34 and 313.24

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Solution

The fourth proportional to 512.40, 707.34 and 313.24 is: 432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.40 : 707.34 = 313.24 : x
  2. Step 2: Convert to fraction form
    512.40/707.34 = 313.24/x
  3. Step 3: Cross multiply
    512.40x = 707.34 × 313.24
  4. Step 4: Simplify right side
    512.40x = 221,567.18
  5. Step 5: Solve for x
    x = 221,567.18/512.40
  6. Step 6: Final answer
    x = 432.41

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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.