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Finding the Fourth Proportional to 477.32, 716.38 and 292.43

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Solution

The fourth proportional to 477.32, 716.38 and 292.43 is: 438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.32 : 716.38 = 292.43 : x
  2. Step 2: Convert to fraction form
    477.32/716.38 = 292.43/x
  3. Step 3: Cross multiply
    477.32x = 716.38 × 292.43
  4. Step 4: Simplify right side
    477.32x = 209,492.06
  5. Step 5: Solve for x
    x = 209,492.06/477.32
  6. Step 6: Final answer
    x = 438.90

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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.