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Finding the Fourth Proportional to 477.71, 716.58 and 153.07

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Solution

The fourth proportional to 477.71, 716.58 and 153.07 is: 229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.71 : 716.58 = 153.07 : x
  2. Step 2: Convert to fraction form
    477.71/716.58 = 153.07/x
  3. Step 3: Cross multiply
    477.71x = 716.58 × 153.07
  4. Step 4: Simplify right side
    477.71x = 109,686.90
  5. Step 5: Solve for x
    x = 109,686.90/477.71
  6. Step 6: Final answer
    x = 229.61

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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.