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Finding the Fourth Proportional to 576.62, 795.45 and 366.45

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Solution

The fourth proportional to 576.62, 795.45 and 366.45 is: 505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.62 : 795.45 = 366.45 : x
  2. Step 2: Convert to fraction form
    576.62/795.45 = 366.45/x
  3. Step 3: Cross multiply
    576.62x = 795.45 × 366.45
  4. Step 4: Simplify right side
    576.62x = 291,490.19
  5. Step 5: Solve for x
    x = 291,490.19/576.62
  6. Step 6: Final answer
    x = 505.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.