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Finding the Fourth Proportional to 477.65, 716.38 and 153.11

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Solution

The fourth proportional to 477.65, 716.38 and 153.11 is: 229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.65 : 716.38 = 153.11 : x
  2. Step 2: Convert to fraction form
    477.65/716.38 = 153.11/x
  3. Step 3: Cross multiply
    477.65x = 716.38 × 153.11
  4. Step 4: Simplify right side
    477.65x = 109,686.35
  5. Step 5: Solve for x
    x = 109,686.35/477.65
  6. Step 6: Final answer
    x = 229.64

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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.