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Finding the Fourth Proportional to 477.90, 716.85 and 153.23

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Solution

The fourth proportional to 477.90, 716.85 and 153.23 is: 229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.90 : 716.85 = 153.23 : x
  2. Step 2: Convert to fraction form
    477.90/716.85 = 153.23/x
  3. Step 3: Cross multiply
    477.90x = 716.85 × 153.23
  4. Step 4: Simplify right side
    477.90x = 109,839.34
  5. Step 5: Solve for x
    x = 109,839.34/477.90
  6. Step 6: Final answer
    x = 229.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.