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Finding the Fourth Proportional to 502.34, 693 and 305.51

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Solution

The fourth proportional to 502.34, 693 and 305.51 is: 421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.34 : 693 = 305.51 : x
  2. Step 2: Convert to fraction form
    502.34/693 = 305.51/x
  3. Step 3: Cross multiply
    502.34x = 693 × 305.51
  4. Step 4: Simplify right side
    502.34x = 211,714.97
  5. Step 5: Solve for x
    x = 211,714.97/502.34
  6. Step 6: Final answer
    x = 421.46

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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.