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Finding the Fourth Proportional to 477.60, 716.32 and 153.20

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Solution

The fourth proportional to 477.60, 716.32 and 153.20 is: 229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.60 : 716.32 = 153.20 : x
  2. Step 2: Convert to fraction form
    477.60/716.32 = 153.20/x
  3. Step 3: Cross multiply
    477.60x = 716.32 × 153.20
  4. Step 4: Simplify right side
    477.60x = 109,740.22
  5. Step 5: Solve for x
    x = 109,740.22/477.60
  6. Step 6: Final answer
    x = 229.77

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