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Finding the Fourth Proportional to 501.84, 691.85 and 352.26

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Solution

The fourth proportional to 501.84, 691.85 and 352.26 is: 485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.84 : 691.85 = 352.26 : x
  2. Step 2: Convert to fraction form
    501.84/691.85 = 352.26/x
  3. Step 3: Cross multiply
    501.84x = 691.85 × 352.26
  4. Step 4: Simplify right side
    501.84x = 243,709.32
  5. Step 5: Solve for x
    x = 243,709.32/501.84
  6. Step 6: Final answer
    x = 485.63

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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.