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Finding the Fourth Proportional to 501.75, 756.45 and 466.53

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Solution

The fourth proportional to 501.75, 756.45 and 466.53 is: 703.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.75 : 756.45 = 466.53 : x
  2. Step 2: Convert to fraction form
    501.75/756.45 = 466.53/x
  3. Step 3: Cross multiply
    501.75x = 756.45 × 466.53
  4. Step 4: Simplify right side
    501.75x = 352,906.62
  5. Step 5: Solve for x
    x = 352,906.62/501.75
  6. Step 6: Final answer
    x = 703.35

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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.