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Finding the Fourth Proportional to 476.61, 716.51 and 380.32

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Solution

The fourth proportional to 476.61, 716.51 and 380.32 is: 571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.61 : 716.51 = 380.32 : x
  2. Step 2: Convert to fraction form
    476.61/716.51 = 380.32/x
  3. Step 3: Cross multiply
    476.61x = 716.51 × 380.32
  4. Step 4: Simplify right side
    476.61x = 272,503.08
  5. Step 5: Solve for x
    x = 272,503.08/476.61
  6. Step 6: Final answer
    x = 571.75

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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.