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Finding the Fourth Proportional to 501.84, 688.34 and 492.40

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Solution

The fourth proportional to 501.84, 688.34 and 492.40 is: 675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.84 : 688.34 = 492.40 : x
  2. Step 2: Convert to fraction form
    501.84/688.34 = 492.40/x
  3. Step 3: Cross multiply
    501.84x = 688.34 × 492.40
  4. Step 4: Simplify right side
    501.84x = 338,938.62
  5. Step 5: Solve for x
    x = 338,938.62/501.84
  6. Step 6: Final answer
    x = 675.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.