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Finding the Fourth Proportional to 477.61, 716.38 and 152.89

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Solution

The fourth proportional to 477.61, 716.38 and 152.89 is: 229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.61 : 716.38 = 152.89 : x
  2. Step 2: Convert to fraction form
    477.61/716.38 = 152.89/x
  3. Step 3: Cross multiply
    477.61x = 716.38 × 152.89
  4. Step 4: Simplify right side
    477.61x = 109,527.34
  5. Step 5: Solve for x
    x = 109,527.34/477.61
  6. Step 6: Final answer
    x = 229.32

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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.