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Finding the Fourth Proportional to 501.73, 756.35 and 468.28

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Solution

The fourth proportional to 501.73, 756.35 and 468.28 is: 705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.73 : 756.35 = 468.28 : x
  2. Step 2: Convert to fraction form
    501.73/756.35 = 468.28/x
  3. Step 3: Cross multiply
    501.73x = 756.35 × 468.28
  4. Step 4: Simplify right side
    501.73x = 354,183.58
  5. Step 5: Solve for x
    x = 354,183.58/501.73
  6. Step 6: Final answer
    x = 705.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.