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Finding the Fourth Proportional to 477.54, 716.23 and 152.83

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Solution

The fourth proportional to 477.54, 716.23 and 152.83 is: 229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.54 : 716.23 = 152.83 : x
  2. Step 2: Convert to fraction form
    477.54/716.23 = 152.83/x
  3. Step 3: Cross multiply
    477.54x = 716.23 × 152.83
  4. Step 4: Simplify right side
    477.54x = 109,461.43
  5. Step 5: Solve for x
    x = 109,461.43/477.54
  6. Step 6: Final answer
    x = 229.22

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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.