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Finding the Fourth Proportional to 506.34, 698.30 and 317.21

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Solution

The fourth proportional to 506.34, 698.30 and 317.21 is: 437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.34 : 698.30 = 317.21 : x
  2. Step 2: Convert to fraction form
    506.34/698.30 = 317.21/x
  3. Step 3: Cross multiply
    506.34x = 698.30 × 317.21
  4. Step 4: Simplify right side
    506.34x = 221,502.67
  5. Step 5: Solve for x
    x = 221,502.67/506.34
  6. Step 6: Final answer
    x = 437.46

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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.